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  <front>
    <journal-meta>
<journal-id journal-id-type="publisher">AMT</journal-id>
<journal-title-group>
<journal-title>Atmospheric Measurement Techniques</journal-title>
<abbrev-journal-title abbrev-type="publisher">AMT</abbrev-journal-title>
<abbrev-journal-title abbrev-type="nlm-ta">Atmos. Meas. Tech.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">1867-8548</issn>
<publisher><publisher-name>Copernicus GmbH</publisher-name>
<publisher-loc>Göttingen, Germany</publisher-loc>
</publisher>
</journal-meta>

    <article-meta>
      <article-id pub-id-type="doi">10.5194/amt-8-3701-2015</article-id><title-group><article-title>Measurement of atomic oxygen in the middle atmosphere using solid electrolyte sensors and catalytic probes</article-title>
      </title-group><?xmltex \runningtitle{Measurement of atomic oxygen in the middle atmosphere}?><?xmltex \runningauthor{M. Eberhart et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Eberhart</surname><given-names>M.</given-names></name>
          <email>eberhart@irs.uni-stuttgart.de</email>
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Löhle</surname><given-names>S.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Steinbeck</surname><given-names>A.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Binder</surname><given-names>T.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Fasoulas</surname><given-names>S.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Institute of Space Systems, University of Stuttgart, Stuttgart,
Germany</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Airbus DS GmbH, Lampoldshausen, Germany</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">M. Eberhart (eberhart@irs.uni-stuttgart.de)</corresp></author-notes><pub-date><day>15</day><month>September</month><year>2015</year></pub-date>
      
      <volume>8</volume>
      <issue>9</issue>
      <fpage>3701</fpage><lpage>3714</lpage>
      <history>
        <date date-type="received"><day>26</day><month>January</month><year>2015</year></date>
           <date date-type="rev-request"><day>24</day><month>March</month><year>2015</year></date>
           <date date-type="rev-recd"><day>25</day><month>June</month><year>2015</year></date>
           <date date-type="accepted"><day>10</day><month>August</month><year>2015</year></date>
      </history>
      <permissions>
<license license-type="open-access">
<license-p>This work is licensed under a Creative Commons Attribution 3.0 Unported License. To view a copy of this license, visit <ext-link ext-link-type="uri" xlink:href="http://creativecommons.org/licenses/by/3.0/">http://creativecommons.org/licenses/by/3.0/</ext-link></license-p>
</license>
</permissions><self-uri xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015.html">This article is available from https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015.html</self-uri>
<self-uri xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015.pdf">The full text article is available as a PDF file from https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015.pdf</self-uri>


      <abstract>
    <p>The middle- and upper-atmospheric energy budget is largely dominated by
reactions involving atomic oxygen (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>). Modeling of these processes
requires detailed knowledge about the distribution of this oxygen species.
Understanding the mutual contributions of atomic oxygen and wave motions to
the atmospheric heating is the main goal of the rocket project WADIS (WAve
propagation and DISsipation in the middle atmosphere). It includes, amongst
others, our instruments for the measurement of atomic oxygen that have both
been developed with the aim of resolving density variations on small vertical
scales along the trajectory. In this paper the instrument based on catalytic
effects (PHLUX: Pyrometric Heat Flux
Experiment) is introduced briefly. The experiment employing solid
electrolyte sensors (FIPEX: Flux <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>(Phi) Probe Experiment) is presented in detail. These sensors were
laboratory calibrated using a microwave plasma as a source of atomic oxygen
in combination with mass spectrometer reference measurements. The
spectrometer was in turn calibrated for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> with a method based on
methane. In order to get insight into the horizontal variability, the rocket
payload had instrument decks at both ends. Each housed several sensor heads
measuring during both the up- and downleg of the trajectory. The WADIS
project comprises two rocket flights during different geophysical conditions.
Results from WADIS-1 are presented, which was successfully launched in June
2013 from the Andøya Space Center, Norway. FIPEX data were sampled at
100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Hz</mml:mi></mml:math></inline-formula> and yield atomic oxygen density profiles with a vertical
resolution better than 9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>. This allows density variations to be
studied on very small spatial scales. Numerical simulations of the flow field around
the rocket were done at several points of the trajectory to assess the
influence of aerodynamic effects on the measurement results. Density profiles
peak at 3 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>10</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at
altitudes of 93.6  and 96 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> for the up- and downleg,
respectively.</p>
  </abstract>
    </article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <title>Introduction</title>
      <p>Atomic oxygen (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) is a highly reactive species and a key element in a
number of atmospheric processes. At high altitudes it is one of the major
constituents of Earth's atmosphere and may cause erosion to exposed parts of
spacecraft, especially on solar panels of satellites and the International
Space Station <xref ref-type="bibr" rid="bib1.bibx36" id="paren.1"/>. In the mesosphere and lower thermosphere
(MLT) <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is an important carrier of chemical energy and plays a
significant role in the distribution of solar
energy <xref ref-type="bibr" rid="bib1.bibx12" id="paren.2"><named-content content-type="pre">e.g.,</named-content></xref>. Atomic oxygen is produced by
photodissociation of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and is then dispersed via various processes
such as turbulent mixing. The chemical energy stored is released upon
recombination, and as the lifetime of the radicals is long in the upper
regions the heating may occur at a large distance from the source,
horizontally as well as vertically. On the other hand, atomic oxygen is also
involved in the most important heat sink in the MLT, the radiation of
C<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in the 15 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">m</mml:mi></mml:mrow></mml:math></inline-formula> band, where the population of the
relevant energy levels depends mainly on collisions with
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx24" id="paren.3"><named-content content-type="pre">e.g.,</named-content></xref>. Determination of local atomic
oxygen densities is therefore a necessity for detailed modeling of the
atmospheric energy budget and understanding of the underlying physical
processes. The demand for high spatial resolution requires in situ
measurement techniques, and the altitudes of interest leave sounding rockets
as the only appropriate instrument carriers. In the past decades numerous
experiments with a number of different measurement techniques have been flown
on sounding rockets to retrieve profiles of atomic oxygen number densities. A
method that is
known to be very accurate is the use of cryogenic mass spectrometers where the
shock front of the payload is “frozen out”, which minimizes the influence of the
aerodynamics <xref ref-type="bibr" rid="bib1.bibx28" id="paren.4"><named-content content-type="pre">e.g.,</named-content></xref>. This accuracy comes at the cost of
a very high system complexity. Several optical techniques have been used for in situ
measurements on rockets that probe emission, absorption or fluorescence of atomic oxygen
or species that are linked to it by a known reaction chain. Measurement of the so-called
airglow is a method with a rather low instrumental complexity which determines the intensity of natural
emissions involving <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> reactions at various wavelengths <xref ref-type="bibr" rid="bib1.bibx27" id="paren.5"><named-content content-type="pre">e.g.,</named-content></xref>.
This technique basically requires only photometers and appropriate filters. A key factor is the exact
knowledge of the rate constants associated with the relevant reactions. A method with good sensitivity
and selectivity uses resonant fluorescence of atomic oxygen in the vacuum ultraviolet (VUV) at 130 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula>. The emission
from a lamp is absorbed by <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> atoms, and the resonantly scattered photons are collected by a
photomultiplier <xref ref-type="bibr" rid="bib1.bibx42" id="paren.6"><named-content content-type="pre">e.g.,</named-content></xref>. This instrument can be complemented with absorption
measurements at the same wavelength <xref ref-type="bibr" rid="bib1.bibx9" id="paren.7"><named-content content-type="pre">e.g.,</named-content></xref>. Improvements on the accuracy could
be made by using <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> airglow measurements, carried out simultaneously, for calibration of the resonant
fluorescence analysis <xref ref-type="bibr" rid="bib1.bibx12" id="paren.8"/>. A review of techniques for the determination of atomic
oxygen densities aboard sounding rockets and satellites can be found in <xref ref-type="bibr" rid="bib1.bibx30" id="text.9"/>.
In order to quantify the contribution both of dissipating gravity waves and of atomic
oxygen to the atmospheric heating, the project WADIS (WAve
propagation and DISsipation in the middle atmosphere) has been set up <xref ref-type="bibr" rid="bib1.bibx7 bib1.bibx8" id="paren.10"/>.
The project is led by the Leibniz Institute of Atmospheric Physics (IAP) under a grant from the German Aerospace
Center (DLR). Several institutions provided rocket-borne experiments for the direct measurement of small-scale
turbulences and various neutral and charged particles in combination with ground-based observations using radar
and lidar. The project foresees two launches of sounding rockets in very different geophysical conditions,
during winter- and summertime.
The Institute of Space Systems (IRS) has contributed to this project with the
development of two new sensor systems designed for the determination of
atomic oxygen density profiles along the trajectory. The first instrument,
called FIPEX (Flux <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ϕ</mml:mi></mml:math></inline-formula>(Phi) Probe Experiment), is based on solid
electrolyte sensors, a technique that has been successfully flown on a number
of rocket missions. On TEXUS 34 (Technologische Experimente unter
Schwerelosigkeit, 1996) a modified commercial lambda probe was employed to
measure <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> densities <xref ref-type="bibr" rid="bib1.bibx39" id="paren.11"/>, followed by
miniaturized sensors on the Russian capsules IRDT (Inflatable Reentry and
Descent Technology, 2000) and IRDT-2 <xref ref-type="bibr" rid="bib1.bibx3" id="paren.12"/>. The sensors
used in these campaigns, however, could not distinguish between molecular and
atomic oxygen. A refined version with improved selectivity towards <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>
was used in an experiment on the International Space Station (2008) <xref ref-type="bibr" rid="bib1.bibx38" id="paren.13"/>. WADIS is the first project to employ this
measurement principle for the determination of atomic oxygen densities aboard
a sounding rocket. The sensors are very small in size, are lightweight, have low
power consumption and feature a high temporal and therefore spatial
resolution. The second sensor system, named PHLUX (Pyrometric Heat Flux
Experiment), measures temperature on
two surfaces with different catalytic activities towards the recombination of atomic oxygen. The
surface that promotes recombination receives a higher amount of chemical heat, leading to a
temperature difference between the surfaces proportional to the incident atomic oxygen flux.
Such catalytic probes have previously been used for atmospheric research on sounding rockets,
albeit with a different design <xref ref-type="bibr" rid="bib1.bibx32" id="paren.14"/>. We adopted a concept originally developed
for ESA's re-entry capsule EXPERT (European eXPErimental Reentry Testbed) <xref ref-type="bibr" rid="bib1.bibx13" id="paren.15"/>.
The basic idea was to simultaneously operate two measurement systems based on different principles and
yet very similar in overall size and position on the rocket.
The first sounding rocket of the WADIS project was launched on 27 June 2013
at the Andøya Space Center in Andenes, Norway, at 23:52 h UTC. The payload
had two instrument decks, one fore and one aft. They were symmetrically
equipped with FIPEX and PHLUX sensors, together with several other
experiments: CONE (COmbined measurement of Neutrals and Electrons): neutral
and electron density, temperature, IAP (<xref ref-type="bibr" rid="bib1.bibx35" id="altparen.16"/>); particle
detector, IAP; positive ion probe (PIP), TU Graz; Faraday antenna: electron
density, TU Graz  (<xref ref-type="bibr" rid="bib1.bibx5" id="altparen.17"/>); two photometers, one measuring in the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> IR A band at 1270 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (atomic oxygen, ozone) and one at
220 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">nm</mml:mi></mml:math></inline-formula> (noctilucent clouds (NLC)), both photometers from MISU
Stockholm (e.g., <xref ref-type="bibr" rid="bib1.bibx12 bib1.bibx11" id="altparen.18"/>); and a new
fixed-bias Langmuir probe comprising surfaces with different work functions: electron density, Embry–Riddle.
The payload had a constant, almost vertical orientation during the experimentation phase, and the instrumentation
of the rocket on both ends had the benefit of measurements during both the up- and downleg of the trajectory, which
enables conclusions about the horizontal distribution of relevant parameters. An apogee of 115 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> was
reached, 5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> short of the planned trajectory.
In this paper we present the applied measuring principles of the two IRS
sensor systems. FIPEX data and the derived atomic oxygen density profiles
will be discussed and compared to literature values. Details about the PHLUX
operation and its results will be published in a companion paper.</p>
</sec>
<sec id="Ch1.S2">
  <title>Solid electrolyte sensor FIPEX</title>
      <p>The so-called lambda-probe presents the most prominent example of a solid
electrolyte oxygen sensor. It measures the oxygen concentration in automobile
exhaust gases in order to regulate the motor's air / fuel ratio. This sensor
type is based on a ceramic solid electrolyte, often yttria stabilized
zirconia (YSZ). Due to the structure of its crystal lattice it is a conductor
for oxygen anions, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula>. If a suitable interface is provided, gas
phase oxygen may be built into this lattice. This is accomplished by applying
an electronically conductive platinum electrode onto the electrolyte surface.
Here a multi-step reaction occurs <xref ref-type="bibr" rid="bib1.bibx15" id="paren.19"><named-content content-type="pre">e.g.,</named-content><named-content content-type="post">p. 24</named-content></xref>:
gaseous <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is transported to the electrodes by bulk diffusion; it is
adsorbed dissociatively on the surface; the O atoms are then driven to
electrochemically active sites by surface diffusion; here oxygen is reduced
in a charge transfer step to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> by electrons delivered by the
electrode; and the ions are then built into vacant lattice sites of the
electrolyte structure. The active sites are essentially found on the
so-called triple-phase boundary where electrode, electrolyte and gas phase
are in direct contact. As electrons are moved in the charge transfer
reaction, the electrical potential of the electrode changes until an equilibrium is
reached. The steady-state potential depends on the gas phase oxygen
concentration. The potential difference <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow></mml:math></inline-formula> between two electrodes
facing unequal gas compositions is given by the Nernst
equation <xref ref-type="bibr" rid="bib1.bibx29" id="paren.20"><named-content content-type="pre">e.g.,</named-content></xref>:
          <disp-formula id="Ch1.E1" content-type="numbered"><mml:math display="block"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">Φ</mml:mi><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mi>R</mml:mi><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi><mml:mi>F</mml:mi></mml:mrow></mml:mfrac></mml:mstyle><mml:mi>ln⁡</mml:mi><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>.</mml:mo></mml:mrow></mml:math></disp-formula>
        <inline-formula><mml:math display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the universal gas constant, <inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> the absolute temperature, <inline-formula><mml:math display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>
Faraday's constant and <inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula> the number of electrons involved in the reaction.
The oxygen concentrations above two electrodes in different environments are
given by <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>c</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. If one electrode is exposed to a defined reference
atmosphere, then the oxygen concentration on the other side can be determined
by measuring the steady-state value of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">Φ</mml:mi></mml:mrow></mml:math></inline-formula>. Such a sensor works
according to the so-called potentiometric principle.</p>
      <p>If an external voltage <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is applied to the electrodes, superposing the
Nernst potential, the system is forced out of equilibrium and oxygen ions are
driven through the electrolyte from cathode to anode. This results in a net
flow that is associated with an electrical current <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measurable at the
electrodes. So-called amperometric sensors make use of this principle and
show a wide measurement range over several orders of magnitude of oxygen
partial pressure. The net flow of oxygen ions persists if both electrodes are
brought to the same environment. Without the requirement of a reference
atmosphere these sensors can be designed with a compact planar layout.
Commonly a third electrode is employed as a reference and the voltage <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
regulated such that the potential difference between cathode and reference is
a constant value. The benefit of this is a linear dependence of the measured
sensor current on oxygen pressure over a wide range.</p>
      <p>An important factor for the sensor behavior is the electrode material.
Besides being a good electronic conductor and being both thermally and
chemically stable, it has to promote the dissociative adsorption of molecular
oxygen. As stated before, platinum exhibits all these
features <xref ref-type="bibr" rid="bib1.bibx40" id="paren.21"/>.</p>
      <p>By contrast, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is not adsorbed on gold surfaces under high
vacuum conditions, except in the case of impurities, e.g., silicon or
calcium <xref ref-type="bibr" rid="bib1.bibx20 bib1.bibx33" id="paren.22"/>, so that a sensor with gold
electrodes responds to molecular oxygen to a much lesser degree. However, gas
phase atomic oxygen is adsorbed directly here and may readily be incorporated
into the described reaction chain. This provides the possibility of designing
sensors with a selective response to atomic oxygen by using gold cathodes.</p>
      <p>All the reaction mechanisms on the electrodes and in the electrolyte are
temperature dependent. In particular the ion conductivity of YSZ rises
exponentially with temperature <xref ref-type="bibr" rid="bib1.bibx31" id="paren.23"/> and requires the sensor
to be heated to about 500 <inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C. It should be noted that the
sensor currents for both molecular and atomic types are proportional to the
flux of particles onto their surfaces and therefore respond to the total
pressure if exposed to a moving medium.</p>
      <p>The design of the amperometric sensor elements used in this paper is shown in
Fig. <xref ref-type="fig" rid="Ch1.F1"/>. A functional YSZ film was screen printed from a
paste (Tosoh Corporation, Japan) onto an alumina substrate. Two electrodes
with an interdigitated layout and a third reference electrode were screen
printed on top of the YSZ layer. A resistance heater was applied to the back
side of the alumina plate, again by means of screen printing. Platinum paste
(Ferro 64120410, Germany) was used for both the electrodes and the heater;
for the electrodes the paste was mixed with YSZ powder (Tosoh Corporation,
Japan), giving a porous layer with an increased triple-phase boundary.
Electrodes and the heater were contacted with gap-welded Pt-Ni leads.
In order to obtain sensors selectively sensitive to atomic oxygen, the cathode was
subsequently electroplated with gold. This was achieved by placing the sensors in
an electrolyte solution (no. 530522, Dr. Ropertz GmbH, Germany), with a voltage
of 3.0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">V</mml:mi></mml:math></inline-formula> applied between cathode and a stainless-steel counter electrode
for 3 min at a current of 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mA</mml:mi></mml:math></inline-formula>.
The electrical circuit used to control and read out the sensors is shown in
Fig. <xref ref-type="fig" rid="Ch1.F2"/>. A controller stabilizes the potential between
cathode and reference to 300 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mV</mml:mi></mml:math></inline-formula> by adjusting the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> voltage. The
sensor signal is the current <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> measured between anode and cathode. The
sensor element is kept at a constant temperature throughout the flight by
regulating the resistance heater to a defined ohmic value. Two sensors are
mounted together in a common aluminum housing, one with a golden and one with
a platinum cathode, as shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>. The platinum
sensor is sensitive to both molecular and atomic oxygen, while the gold sensor
selectively measures the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> density. Two heat-resistant ceramic
elements hold the sensors in place, and the leads are soldered to a LEMO
connector.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1"><caption><p>Layout of a FIPEX sensor. Electrodes are made of platinum; for
atomic oxygen sensors the cathode is additionally gold coated.
</p></caption>
        <?xmltex \igopts{width=156.490157pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f01.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><caption><p>Electrical circuit of a sensor with three-electrode design and
regulation of the reference voltage. </p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f02.pdf"/>

      </fig>

      <p>This ensemble with two different sensors makes up a sensor head; to ensure
redundancy three of these heads were mounted on both the fore and aft deck of
the payload. The sensors were operated by custom designed electronics, one on
each deck, connected to the heads by a thoroughly shielded cable. The
sampling frequency of the sensor data was 100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Hz</mml:mi></mml:math></inline-formula>. Considering the
rocket speed along the trajectory, this results in a theoretical vertical
resolution better than 9 m during the flight. The photograph given in Fig. <xref ref-type="fig" rid="Ch1.F4"/> shows the final assembly of the instruments on the fore
deck of the rocket, with both a FIPEX and PHLUX sensor head visible. Pairs of
heads were distributed with a 120<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> spacing on an adapter ring. The
FIPEX sensors were mounted parallel to the rocket axis so that their
sensitive electrode surface is oriented perpendicular to the main component
of the flight velocity. This orientation was chosen to minimize the influence
of the rocket speed on the measured oxygen flux.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><caption><p>FIPEX head with two sensors (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>)
mounted in a common housing. </p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f03.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><caption><p>Payload on the fore deck of the rocket with both a FIPEX and PHLUX
sensor head visible and a sketch showing their arrangement. Other instruments
in the photo are the particle detectors and the CONE ionization gauge, all
from IAP. CONE is covered by an evacuated hood. </p></caption>
        <?xmltex \igopts{width=184.942913pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f04.jpg"/>

      </fig>

</sec>
<sec id="Ch1.S3">
  <title>Catalytic Probe PHLUX</title>
      <p>Two oxygen atoms recombining on a surface release an energy of
5.2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">eV</mml:mi></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx10" id="paren.24"/>, leading to a temperature increase.
The number of recombinations in a time interval depends on the flux of atoms
onto the surface and on its catalytic activity towards this reaction,
expressed by a recombination coefficient <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula>. The heat flux can be
related to the incident chemical heat and thus to the atomic oxygen density.
To account for varying and unknown heat transfer coefficients from the
surface to the surroundings, a second inert probe is used. Its heat flux
variations reflect all other heat transfer mechanisms, like convection and
radiation. In the PHLUX probe head two Pt100 temperature sensors (Heraeus
type L220P, sensor area 2 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 2 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>) with different coatings, silicon
dioxide (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and platinum, have been placed close to each other.
Platinum is a highly catalytic material, while <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">SiO</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is used as an inert
reference with <inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">γ</mml:mi></mml:math></inline-formula> close to zero.
In order to minimize heat losses to the structure, the Pt100 elements are embedded in an
aerogel pad (Airloy from Aerogel Technologies Inc., USA) with extremely low thermal conduction.
To account for heat losses through the sensor lead wires, the temperature of the connector pins
is measured by a thermocouple. Figure <xref ref-type="fig" rid="Ch1.F5"/> shows the complete sensor head with a
PEEK housing. Similar to FIPEX two heads are mounted on each payload deck for the sake of redundancy.
According to the original schedule WADIS-1 was planned in wintertime, in dim light or during night. Sunlight
became an obstacle to the PHLUX measurements as plans had to be shifted to summer conditions. Solar radiative
heat exceeds the chemical contributions on both the coated and the uncoated surface. As the absorption coefficients
and their dependence on wavelength and temperature are not known exactly, the concept was altered to rule out this
source of error. One of the sensor heads was covered with a sapphire window, so that the surfaces beneath do not
receive any chemical heat and the temperatures represent the pure solar contributions. These values can be subtracted
from the results of the uncovered head, leaving the effect from atomic recombination if convection is assumed to
be identical on both heads. This step was omitted on the aft deck as no direct sunlight was expected here.
Custom electronics were used to read the temperature of the thermocouples and
the resistance of the Pt100 elements. Four-wire measurement eliminated
uncertainties due to different cable lengths. Sensor data were sampled with a
frequency of 1000 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Hz</mml:mi></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S4">
  <title>Calibration</title>
      <p>As no first-principles model can be employed for the interpretation of the
sensor readings, a laboratory calibration is necessary. This applies
especially to solid electrolyte sensors, for both molecular and atomic
oxygen, but more generally also to the catalytic probes. Here parameters like
the catalytic efficiencies, absorption and emission coefficients or other
thermo-physical properties of the sensor design are only known with high
uncertainties. In the following the calibration method for the FIPEX sensors
is detailed. The PHLUX sensors were calibrated for the incident heat flux
density using the NISI (non-integer system identification)
method <xref ref-type="bibr" rid="bib1.bibx22 bib1.bibx21" id="paren.25"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5"><caption><p>Design of the PHLUX sensor head. </p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f05.pdf"/>

      </fig>

      <p><?xmltex \hack{\newpage}?>A microwave generator (2.45 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">GHz</mml:mi></mml:math></inline-formula>, Sairem, France) is used to produce a
low-pressure oxygen plasma as a source of atomic oxygen, a technique widely
employed in various technical and scientific applications and well studied in
the literature <xref ref-type="bibr" rid="bib1.bibx19" id="paren.26"/>. The pure-oxygen plasma is sustained
within a cylindrical quartz tube at an oxygen pressure of 1.0 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mbar</mml:mi></mml:math></inline-formula>
and an incident microwave power of up to 300 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">W</mml:mi></mml:math></inline-formula>. The tube has a length
of 30 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula> with an outer diameter of 50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula> and a wall thickness
of 2.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula> and is mounted onto a vacuum chamber. The atomic oxygen
generated in the discharge is expanded into the vacuum through a small
orifice (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">∅</mml:mi></mml:math></inline-formula> 0.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula>) along with undissociated molecular
oxygen. This generates a fast beam with a distinct radial and axial
distribution of the atomic oxygen density. In a first step the radial profile
of the degree of dissociation in this beam is determined with a quadrupole
mass spectrometer (QMS, Hiden HAL 3F with cross-beam ion source).
The QMS is mounted on a flexible bellow with its axis perpendicular to the beam. A
mechanism allows variation of the radial position of the QMS, thus recording the desired
profile. The degree of dissociation is obtained as the ratio between the readings at mass
numbers 16 (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) and 32 (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>). To suppress dissociative products in the ion
source, which corrupt the measurement, a low electron energy of 16 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">eV</mml:mi></mml:math></inline-formula> is used. As the
QMS is operated with non-standard parameters, it in turn has to be calibrated. For this purpose
we employ a method involving methane (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) that shares mass number 16 with atomic
oxygen <xref ref-type="bibr" rid="bib1.bibx1" id="paren.27"/>. The energy scale of the ionizer is calibrated against the
well-know appearance potential of argon.
It should be stressed that the mass spectrometer only determines static
number densities regardless of the velocity of the
medium <xref ref-type="bibr" rid="bib1.bibx41" id="paren.28"/>. However, the calibration of the sensors
requires knowledge of the flux of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> atoms in the beam. Therefore a
second measurement is required to provide the total flux, which can be
combined with the degree of dissociation to form the profile of atomic oxygen
total pressure needed for calibration. This measurement is made in the
pure-<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> beam (plasma off) with a solid electrolyte sensor with platinum
electrodes calibrated for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> under static conditions. As the beam
profile is radially symmetric, this sensor is mounted on a linear/rotary
manipulator (MDC BRLM-275) opposing the QMS, together with the atomic oxygen
sensor to be calibrated. After the total flux profile has been determined the
manipulator is turned about 180<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, so that the second sensor is exposed
to the beam and its response to the radially varying atomic flux (plasma on)
can be recorded. This enables an almost simultaneous operation of the
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> sensor and the QMS reference system without the need of opening the
vacuum chamber between measurements. Calibration curves for atomic oxygen
obtained by this procedure are given in Fig. <xref ref-type="fig" rid="Ch1.F6"/> for the
sensors used during WADIS-1. The different slopes of the curves are due to
tolerances in the manufacturing of the sensors. Slight variations in the
heater geometry and the position of the electrodes on the substrate, for
example, lead to temperature differences that directly affect the sensor
signal. Variations in the spacing between the electrodes furthermore result
in a differing conductance across the electrolyte.</p>
      <p>Calibration for molecular oxygen is done by testing the sensors in a vacuum
chamber under stationary conditions. The partial pressure of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is
varied by a leak valve (Balzers UDV 235), and the sensor current is measured
against a pressure gauge (Pfeiffer FullRange PKR251). Results for one sensor
(C24) with platinum cathodes are plotted exemplarily in Fig. <xref ref-type="fig" rid="Ch1.F7"/>. Values for the gold-plated atomic oxygen sensor C15
are given additionally in this plot. All sensors with gold cathodes showed
almost no sensitivity towards molecular oxygen in the relevant pressure
range.</p>
</sec>
<sec id="Ch1.S5">
  <title>Aerodynamic considerations</title>
      <p>It is important to consider that the measurements conducted on sounding rockets are
intrusive because the rocket itself influences the flow field of the medium to be analyzed.
The high velocities produce complex patterns of shock and rarefaction waves with regions of
very different temperatures and densities than in the undisturbed atmosphere. Due to their different
masses and thermal velocities the abundance of the various species may additionally be altered in the
vicinity of the rocket walls <xref ref-type="bibr" rid="bib1.bibx2" id="paren.29"/>. All such effects have to be taken into account
when making conclusions on atmospheric properties from the measurement results. Exceptions are instruments
with cryogenically cooled surfaces like the mass spectrometers flown on several missions <xref ref-type="bibr" rid="bib1.bibx28" id="paren.30"/>.
Here incident particles are trapped on the cold walls and the shock is “frozen out” as no reflections occur. This,
however, requires intensive cooling with liquid helium to temperatures below 20 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>, which dramatically
increases the system complexity. Some methods may operate on a boom deployed from the rocket to probe a volume
well outside of the shock front <xref ref-type="bibr" rid="bib1.bibx12" id="paren.31"><named-content content-type="pre">e.g.,</named-content></xref>. Here aerodynamic simulations are required to
reveal the position and extent of the disturbances to appropriately design the detection system.
In order to investigate the aerodynamic effects during the flight, we
conducted simulations of the flow field at distinct points of the trajectory.
These computations have to account for the transition of the flow regime from
continuum to free molecular flow across the mesopause region, which cannot be
treated by classical continuum mechanics. As indicated in Fig. <xref ref-type="fig" rid="Ch1.F8"/>, the WADIS payload had an almost vertical
orientation throughout the whole experimentation phase, so
three-dimensional aerodynamics have to be considered due to the horizontal velocity
component. The  direct-simulation Monte Carlo method (DSMC) of the
PICLas code, developed in collaboration between IRS and the Institute of
Aerodynamics and Gas Dynamics (IAG) <xref ref-type="bibr" rid="bib1.bibx25" id="paren.32"/>, was employed to
simulate the flow conditions at five points on the downleg part of the
trajectory. For collisions a pairing scheme including the natural-sample-size
method with a nearest-neighbor search and a standard (variable hard sphere,
VHS) model was applied in which the energy-dependent collision cross section
is derived from viscosity data by <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>∝</mml:mo><mml:msup><mml:mi>T</mml:mi><mml:mi mathvariant="italic">ω</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mi mathvariant="italic">ω</mml:mi></mml:math></inline-formula> = 0.75
used). The species <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Ar</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> were
considered in the calculation, with a VHS reference temperature of
273 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>. For the VHS reference diameters, values of 4.17 Å (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">Ar</mml:mi></mml:mrow></mml:math></inline-formula>), 3.1 Å (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>), 4.17 Å (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">N</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and
4.07 Å (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) were used.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><caption><p>Calibration curves for the atomic oxygen sensors labeled C02–C15
flown on WADIS-1. Sensor currents are plotted over atomic oxygen partial
pressure. The error bar represents the uncertainty due to the pressure
measurement and shifted electron energy in the QMS ionizer.
</p></caption>
        <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f06.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7"><caption><p>Calibration curves for molecular oxygen sensor C24 with platinum
electrodes and for atomic oxygen sensor C15 with gold-plated cathode. Sensor
currents are plotted over the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> partial pressure. The error bars
indicate the uncertainty due to the pressure measurement.
</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f07.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8"><caption><p>Raw signals of the atomic oxygen sensors vs. flight time, together
with the altitude and rocket orientation during the experimentation phase.
</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f08.png"/>

      </fig>

      <p>The internal degrees of freedom of the molecules were taken into account
while neglecting chemical reactions. Each particle in the simulation
represented between 1.5 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>11</mml:mn></mml:msup></mml:math></inline-formula> and 2 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn>13</mml:mn></mml:msup></mml:math></inline-formula>
real particles (macro-particle factor, MPF). The computational domain
includes an unstructured, hexahedral mesh with cell edge lengths between
3  and 50 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula> and rectangular boundaries with minimal
distances to the body ranging from 0.5 to 1.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula>. Symmetry of the
rocket was exploited by simulating only one half of the domain. The sensor
heads were included in the calculation with simplified block-like geometries
with the approximate size of two adjoined heads. Apart from the actual
triangular configuration (see sketch in Fig. <xref ref-type="fig" rid="Ch1.F4"/>), two of these
blocks were positioned on adjacent sides of the rocket axis in order to cover
both the maximal and minimal particle density cases during one revolution of
the rocket. On the walls a diffusive reflection with full accommodation and a
temperature of 300 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula> were assumed, whereas specular reflection was set
for the plane of symmetry. All other boundaries were open with an inflow from
a virtual buffer layer filled with particles of a Maxwell–Boltzmann
distribution corresponding to the free-stream condition. Steady state, i.e.
start of averaging of macroscopic values, such as particle density, was
assumed to be reached after 0.02 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">s</mml:mi></mml:math></inline-formula>. The gas composition at the
different altitudes was taken from the standard MSIS-E-90 model and
temperatures from the CONE results, where it is derived by integrating the
measured neutral air density profile <xref ref-type="bibr" rid="bib1.bibx35" id="paren.33"/>. Sensitivity
analyses were conducted in terms of varying boundary distances and MPFs.
Computing time for the simulations ranged from 0.5 to 4 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> on 96 cores
of a CRAY XC40 for altitudes above 85 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> and was 10 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">h</mml:mi></mml:math></inline-formula> on 192
cores for the 85 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> case. Flow field results for 85 and
100 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> altitude are given exemplarily in Fig. <xref ref-type="fig" rid="Ch1.F9"/>.
Here the ratio of the local total number density (<inline-formula><mml:math display="inline"><mml:mi>n</mml:mi></mml:math></inline-formula>) to the value of the
undisturbed atmosphere (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi>n</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula>) is plotted. At 85 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> a distinct
shock is formed with pronounced ram and wake regions that are blurred towards
higher altitudes. The values of <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi>n</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> on the upwind side at the sensor
position are given in Fig. <xref ref-type="fig" rid="Ch1.F10"/> as a function of altitude, with
one line each representing the ram and wake sensors. The <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>n</mml:mi><mml:mo>/</mml:mo><mml:msup><mml:mi>n</mml:mi><mml:mi mathvariant="normal">∞</mml:mi></mml:msup></mml:mrow></mml:math></inline-formula> values
were multiplied to the measurement results to correct for aerodynamic
effects. For computational reasons only the total number densities could
be considered for this ratio; in previously published simulations, however,
the relative abundance of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> was shown to vary only
slightly <xref ref-type="bibr" rid="bib1.bibx12" id="paren.34"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9"><caption><p>Distribution of the ratio between local and free-stream number
density during the downleg at two different altitudes. Results from 3D DSMC
calculations with the PICLas code. </p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f09.pdf"/>

      </fig>

</sec>
<sec id="Ch1.S6">
  <title>Results</title>
      <p>In the following the results from the FIPEX measurements before and after aerodynamic
correction are given. Number densities are calculated from the raw sensor signals by
applying the linear relationships obtained from the individual calibration curves. The results
are subsequently corrected for aerodynamic effects by dividing them by the appropriate ram or
wake factors obtained from the numerical simulations. These factors were linearly interpolated
for all altitudes from the curves given in Fig. <xref ref-type="fig" rid="Ch1.F6"/>.
Emphasis is placed on the atomic oxygen density profiles; values for molecular oxygen, obtained from
the platinum cathode sensors, are presented briefly. Interpretation of the PHLUX results still
requires a thorough analysis, which will be given in a companion paper.</p><?xmltex \hack{\newpage}?>
<sec id="Ch1.S6.SS1">
  <title>FIPEX – atomic oxygen profiles</title>
      <p>An overview of the raw signals obtained from all atomic oxygen sensors is
given in Fig. <xref ref-type="fig" rid="Ch1.F8"/>. The values are plotted vs. the
duration of the flight,
together with the altitude and significant events. Additionally the orientation of the
rocket payload with instrument decks on both ends is shown.
Due to their alignment the sensors were affected by the horizontal component
of the flight velocity. As the rocket was spin-stabilized, this resulted in a
signal modulated with a 2.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Hz</mml:mi></mml:math></inline-formula> component that was removed with a
notch filter. One sensor on the lower deck showed unstable oscillations in
the signal and was excluded from further analysis, so that in total results
from five <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> sensors could be used. After application of the respective
calibration curves, atomic oxygen partial pressures were obtained. Number
densities were calculated by dividing by <inline-formula><mml:math display="inline"><mml:mrow><mml:mi>k</mml:mi><mml:mspace width="0.25em" linebreak="nobreak"/><mml:mi>T</mml:mi></mml:mrow></mml:math></inline-formula>, were <inline-formula><mml:math display="inline"><mml:mi>k</mml:mi></mml:math></inline-formula> is Boltzmann's
constant and <inline-formula><mml:math display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula> the local absolute temperature measured with high spatial
resolution by the CONE instrument. Temperature data were not available for
altitudes above 110 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. The apogee of the trajectory was
115 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10"><caption><p>Ratios between local and free-stream total number density at the
sensor position as a function of altitude. The ratios are obtained from
numerical simulations made at the marked altitudes and are used as
aerodynamic correction factors. </p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f10.pdf"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11"><caption><p>Measurement results for atomic oxygen number density vs. altitude
for sensors on the fore deck during the up- and downleg without aerodynamic
correction. The shading shows the uncertainty from the calibration for fore
sensor B22. </p></caption>
          <?xmltex \igopts{width=199.169291pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f11.pdf"/>

        </fig>

<sec id="Ch1.S6.SS1.SSS1">
  <title>Fore sensors</title>
      <p>Data obtained from the fore sensors before aerodynamic correction are given in
Fig. <xref ref-type="fig" rid="Ch1.F11"/>. Corrected profiles are plotted in Fig. <xref ref-type="fig" rid="Ch1.F14"/>.
In the initial phase, after nosecone separation at 53 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> altitude, the sensors had to
acclimatize to the low-density conditions of the free atmosphere. Gases that have been adsorbed
on the electrodes under atmospheric pressure before liftoff desorb from the surface. This process
leaves the sensors in unstable condition, and hence they show very different results in the beginning.
They measured in the rocket ram during ascent and stayed in the wake during descent. The profiles are
plotted from an altitude of 80 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> upwards, where they converge at 91 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> to form a sharp
rise in atomic oxygen number density. From that point onwards the curves follow each other qualitatively
with a maximum value at 93.6 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> altitude. During the downleg variations in the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>, density can
still be resolved, with two profiles closely matching (C17 and B22), while the third one (C15) differs.
The characteristics obtained by the first mentioned sensors are similar to the ascent results while
their magnitude is reduced, with fewer details than during upleg.</p>
</sec>
<sec id="Ch1.S6.SS1.SSS2">
  <title>Aft sensors</title>
      <p>The motor was separated at an altitude of 60.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> releasing the lower
instrument deck. Profiles recorded by the aft sensors are plotted in Fig. <xref ref-type="fig" rid="Ch1.F12"/>, again without application of the aerodynamic
correction factors. Corrected results are included in Fig. <xref ref-type="fig" rid="Ch1.F14"/>. While in the wake, during ascent, no density
variations could be determined. For both sensors the downleg profile is
dominated by a deep dip with a minimum between 104 and 106 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>,
followed by a gradual rise that peaks at 96 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> altitude. Below that
point a characteristic sharp gradient and small-scale variations are
observed, followed by a sharp gradient at an altitude of 87 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. The
high-frequency fluctuations in the lower part of the curves are probably
leftovers from the rocket spin. The payload enters a flat spin at around
68 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>, which terminates the measurements. Below 85 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> the
results suffer from increasing noise due to the onset of instability in the
flight state.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12"><caption><p>Measurement results for atomic oxygen number density vs. altitude
for sensors on the aft deck during the up- and downleg without aerodynamic
correction. The shading shows the uncertainty from the calibration for the
aft sensor CO2. </p></caption>
            <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f12.pdf"/>

          </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S6.SS2">
  <title>FIPEX – molecular oxygen</title>
      <p>Results for the molecular oxygen number density recorded by sensor C24 (fore
deck) during the upleg and downleg after aerodynamic correction with the ram
and wake factors, respectively, are plotted exemplarily in Fig. <xref ref-type="fig" rid="Ch1.F13"/>.
Here the calibration curve given in Fig. <xref ref-type="fig" rid="Ch1.F7"/> was applied to the raw signal after filtering out the
spin modulations. This practice neglects the fact that the platinum
electrodes also respond to atomic oxygen, although with a different
characteristic than to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> due to differing adsorption kinetics.</p>
      <p>The probability of finding suitable neighboring adsorption sites on the surface for both
atoms is lower than in the case of a single incident <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> atom. The complete calibration
of a platinum sensor for mixtures of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is therefore more complex than in
the case of gold electrodes that do not respond to molecular oxygen. For this reason the results
cannot be understood as pure <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> profiles but represent in some way the sum of atomic and
molecular oxygen number densities. An approximate equation describing the total signal of a
sensor with platinum electrodes as a sum of the contributions from <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> is
given in <xref ref-type="bibr" rid="bib1.bibx4" id="text.35"/>. However, in order to separate the measured currents into
their components, detailed knowledge of electrode properties such as their surface area, total
number of adsorption sites or adsorption probabilities of the species is required.
The fact that up- and downleg profiles are very close in their absolute
values is an indication of realistic numerical modeling of the
aerodynamics, resulting in appropriate correction factors for both ram and
wake sensors.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><caption><p>Profile for the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula>) number density from fore
sensor C24 after aerodynamic correction (ram for upleg, wake for downleg)
compared to MSIS-E-90. </p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f13.pdf"/>

        </fig>

<?xmltex \hack{\newpage}?>
</sec>
</sec>
<sec id="Ch1.S7">
  <title>Discussion</title>
      <p>The FIPEX density profiles after application of the aerodynamic corrections are
given in Fig. <xref ref-type="fig" rid="Ch1.F14"/>. Additionally, data is compared to the
standard MSIS-E-90 model. Though having been measured in different geophysical
conditions, profiles obtained during the NLTE-2 campaign – launched at the Esrange
Space Center, northern Sweden, on 6 March 1998 – are additionally included for comparison <xref ref-type="bibr" rid="bib1.bibx12" id="paren.36"/>.
A fair agreement is observed for the altitude of maximum <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> number
densities between the FIPEX results and the MSIS and NLTE-2 data. FIPEX
profiles peak at 93.6 and 96 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> for the up- and downleg,
respectively. The MSIS-E-90 curve shows a peak value at 93.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>, and
the NLTE-2 measurements recorded a maximum at 97.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> altitude. The
NLTE-2 results have a much higher spatial resolution (smoothed to
250 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">m</mml:mi></mml:math></inline-formula> on the vertical axis) than the MSIS profile and feature several
distinct local extrema. The absolute peak values for <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">O</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> from MSIS
and NLTE-2 are higher than the FIPEX results by factors of 5 and 14,
respectively. Both fore and aft sensors recorded variations in atomic oxygen
number density on a scale that is beyond the spatial resolution of the
MSIS-E-90 and NLTE-2 profiles. The results show local extrema that can mostly
be found in the curves recorded from the others sensors on the same
instrument deck, while they differ slightly in altitude and absolute value
between upleg-fore and downleg-aft measurements. These differences are
intended to be linked to horizontal variations in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> density as the
trajectory spans over a distance of about 30 km at 80 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> altitude. The
broad minimum observed in the downleg-aft profiles at around 105 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>
altitude is, however, most likely not due to actual large variations in the
atomic oxygen concentration; the fore sensor data do not show this feature.
One attempt to explain this situation could be made by assuming the onset
of outgassing on the rocket rear side beyond apogee. The surfaces would heat
up due to an evolving bow shock releasing adsorbed particles, e.g., exhaust
gases, that consume atomic oxygen in chemical reactions. However, the
increase in surface temperature measured by the PHLUX sensors between apogee
and 105 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> was only about 0.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">K</mml:mi></mml:math></inline-formula>, so that outgassing does not
seem to cause an atomic oxygen depletion. We favor an interpretation based on
the electrode kinetics. As laid out before, the reference voltage of the
sensor is regulated to a constant value by appropriately adjusting <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, the
voltage between anode and cathode. With increasing oxygen concentration
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> has to be raised which leads to a linear characteristic of the sensor
current over a wide pressure range. Under steady-state conditions a given oxygen
density can be attributed to a certain ratio of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> values. During the downleg
a rise in this ratio along with a decline in the absolute <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value can be found in
the aft sensor data (see Fig. <xref ref-type="fig" rid="Ch1.F15"/>) exactly at the altitude where
the dip in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> density was observed. Although the gold coated cathode is not
sensitive towards molecular oxygen, the platinum reference electrode still dissociatively
adsorbs <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>. Its reduction to <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msup><mml:mi mathvariant="normal">O</mml:mi><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>-</mml:mo></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> consumes electrons, which increases the
potential difference between reference and cathode. Subsequently <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is lowered by the
controller to maintain a constant reference voltage, leading to a decrease in <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. This
mechanism is believed to cause the dip in the signal after the sensors left the rocket
wake with a very low <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> density beyond apogee.
At very low ambient pressures the coverage of the electrode surfaces with adsorbed oxygen is
also low. For two reasons the coverage on the cathode is further reduced
compared to the other electrodes: firstly, gold prevents adsorption of molecular
oxygen with only very low <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> concentrations in the rocket wake; secondly,
adsorbed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> is pumped away by  the applied voltage <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. Surface diffusion to the
triple-phase boundary is slowed down at these low coverages so that a steady state is
reached only after long periods <xref ref-type="bibr" rid="bib1.bibx4" id="paren.37"><named-content content-type="post">p. 106</named-content></xref>. The described
slow kinetics may also explain the delayed onset of the effect some seconds beyond apogee.
Further investigations into the transient reaction of the sensors at very low
pressures have to be carried out; this will also help to improve the
interpretation of high-frequency variations of the results in that regime.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14"><caption><p>Profiles of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> number density for FIPEX sensors on fore and
aft deck after aerodynamic ram correction. Downleg profile for aft sensors,
upleg part for the fore sensors. Comparison to MSIS model and NLTE-2
measurements. </p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f14.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15"><caption><p>Ratio of voltage to current for an aft sensor during the downleg. Raw
values including 2.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Hz</mml:mi></mml:math></inline-formula> modulation due to rocket spin.
</p></caption>
        <?xmltex \igopts{width=213.395669pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f15.pdf"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16"><caption><p>Comparison of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> number density profiles from sensors on fore
and aft deck during the downleg after aerodynamic correction (ram factors for
aft, wake factors for fore). The MSIS profile is scaled by 0.5 and plotted
additionally. The inset shows the course of the sensor voltage <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
(including 2.9 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">Hz</mml:mi></mml:math></inline-formula> modulation from rocket spin) for two fore sensors.
</p></caption>
        <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://amt.copernicus.org/articles/8/3701/2015/amt-8-3701-2015-f16.pdf"/>

      </fig>

      <p>Generally speaking, the results recorded in the ram, i.e. the fore-upleg and
aft-downleg profiles, appear to reflect the actual variations better than
their counterparts in the wake. In the ram the measurements are also
influenced by aerodynamic effects, but the response to density variations is
obviously more direct, showing fluctuations on a smaller scale with a better
signal-to-noise ratio.</p>
      <p>A comparison of the fore and aft results during the downleg is given
in  Fig. <xref ref-type="fig" rid="Ch1.F16"/>, together with the MSIS-E-90
profile, which has been scaled by a factor of 0.5. The curves have been corrected by
the aerodynamic factors for ram and wake, respectively. Though different in
magnitude, the obtained profiles agree widely on a qualitative basis. Small-scale features are
represented in all curves, e.g., the short dip at 89 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> altitude or the steps
at 87  and 93 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. The fact that these results are simultaneously
recorded at opposite ends of the rocket with different sensors on individual electronics
increases confidence that actual atmospheric <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> density variations were measured.
The deviation between the profiles of one side, especially among the fore sensors, is most
likely caused by the <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> voltage control. The course of <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> during the downleg is given in the
inset of Fig. <xref ref-type="fig" rid="Ch1.F16"/>. These curves reflect the large-scale
differences obtained in the number densities from the single sensors. A <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> voltage
control in combination with electrodes from different materials (golden cathode, platinum
anode and reference) apparently accentuates deviations between the sensor properties that
are due to the mentioned manufacturing tolerances. Variations in the ratios of the surfaces and of the triple-phase
boundaries between the golden cathode and the other electrodes can thus lead to
a different controlling behavior in a mixed <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> / <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> atmosphere. While the
voltage control is a versatile instrument to maintain stable conditions on the cathode
for sensors with electrodes made from identical materials, e.g., all-platinum electrodes
for sensing pure <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, it seems to corrupt the measurements in the present case.</p>
<sec id="Ch1.S7.SSx1" specific-use="unnumbered">
  <title>Uncertainties, sources of error and recommendations</title>
      <p>Several possible sources of errors and uncertainties in the calibration
procedure as well as during the flight experiment can be identified and are
addressed in the following. During calibration the sensors are exposed to
atomic oxygen produced in a microwave discharge. The atoms might be
accompanied by other oxygen species influencing the sensor signal, with a
focus on ozone (<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>) and electronically excited molecular oxygen
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>, especially in its long-lived <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> state
(so-called singlet oxygen). In both cases it is important to investigate
whether the species can contribute to the measured sensor current and if they
are actually present in the experiment. In order to answer the first
question, the initial step of the electrode reactions, the adsorption on the gold
surface, is regarded. It can be found in the literature that ozone does
adsorb on gold and hence will be part of the reaction chain forming the
sensor signal <xref ref-type="bibr" rid="bib1.bibx37 bib1.bibx17" id="paren.38"/>. For singlet oxygen, relevant
literature is very rare; there are practically no publications that examine
if <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is, in contrast to ground state <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, adsorbed on
gold surfaces or not. A hint is given in the work by <xref ref-type="bibr" rid="bib1.bibx6" id="text.39"/>, where
weakly bound physisorbed oxygen is adsorbed by electron
bombardement. They discuss that a threshold
electron energy of 3.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">eV</mml:mi></mml:math></inline-formula> is required for this process. The
excitation energy of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is listed, on the other
hand, as 0.98 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">eV</mml:mi></mml:math></inline-formula>  <xref ref-type="bibr" rid="bib1.bibx16" id="paren.40"/>. On that basis it could be
speculated that this species does not possess the necessary activation energy
for adsorption, although the two underlying processes are different. The
abundance of ozone during calibration was checked by recording the QMS signal
at mass number 48. Only minute trace amounts of ozone could be found,
although the cross section for electron impact ionization of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> in
the QMS ion source is higher than for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx23" id="paren.41"/>.
Ozone is not produced directly in the discharge but in its afterglow via
recombination of atomic oxygen <xref ref-type="bibr" rid="bib1.bibx26" id="paren.42"/>. In the present setup
the afterglow is too short to release significant amounts of ozone into the
vacuum chamber. The detection of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msubsup><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula> is, however, not
straightforward. We employed a method that seeks to identify singlet oxygen
in the threshold ionization curves obtained by scanning the electron energy
in the QMS ionizer <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx34" id="paren.43"/>. Excited
molecules are already ionized at lower electron energies and so leave traces
in the curves at energies lower than the appearance potential of the ground
state molecule. In order to avoid production of excited species from other
sources, all ionization gauges were turned off during the experiments. Curves
with scanning electron energies were recorded for both plasma-on and plasma-off
conditions, with the energy scale calibrated against the appearance potential
of argon. The curves were normalized to their value at 40 eV and averaged
over about 100 single scans. In both cases the results were identical and did
not confirm the presence of O<inline-formula><mml:math display="inline"><mml:mrow><mml:msubsup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn><mml:mo>∗</mml:mo></mml:msubsup></mml:mrow></mml:math></inline-formula>. Though it is most likely produced
in the microwave discharge, it probably suffers from deactivation at the
silica walls during the passage through the orifice. With a diameter of
0.3 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula> and a length of 2.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mm</mml:mi></mml:math></inline-formula> it forms a narrow tunnel where
multiple wall collisions occur before the molecules exit into the high
vacuum. It should be noted, however, that in contrast to the calibration
conditions both ozone and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> (<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) have been
measured in the atmosphere aboard sounding rockets, with peak densities at
90 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> altitude of about 1 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">8</mml:mn></mml:msup></mml:math></inline-formula> and
3 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for ozone and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>
(<inline-formula><mml:math display="inline"><mml:mrow><mml:msup><mml:mi/><mml:mn mathvariant="normal">1</mml:mn></mml:msup><mml:msub><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi mathvariant="normal">g</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), respectively <xref ref-type="bibr" rid="bib1.bibx9" id="paren.44"/>. These species
could then contribute to the uncertainties in the atomic oxygen measurements.
It is therefore important to further investigate their effect on the sensor
signals.</p>
      <p>It was revealed in recent experiments that the electron energy in the QMS
ionizer is influenced by the microwave plasma and thus can deviate from its
nominal value. More precisely, it is shifted to lower energies when the
discharge is turned on. This shift, however, affects the QMS results both for
O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> and for atomic oxygen. Their ratio is the relevant quantity for the
calibration, and with an observed energy deviation of 1.5 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">eV</mml:mi></mml:math></inline-formula> the
measured atomic oxygen density would be lower by 8 %, based on the literature
values for electron impact ionization <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx23" id="paren.45"/>. Calibration of the QMS is done by recording its readings
at a series of partial pressures of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula>, respectively,
compared to the output from a cold cathode gauge (Pfeiffer PKR 251) with an
accuracy of <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>30 %. The correction factor for <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">CH</mml:mi><mml:mn mathvariant="normal">4</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> of the cold
cathode gauge was found with the aid of a precise, gas-type independent
capacitance manometer (MKS Baratron 690A, accuracy <inline-formula><mml:math display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula>0.12 %) in the
pressure range above 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">6</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">mbar</mml:mi></mml:math></inline-formula>. Linearity was
assumed below that point.</p>
      <p>A shortcoming of the calibration method in its present form is its inability
to cover the complete range of atomic oxygen number densities encountered
during the flight experiment. The sensor currents measured along the
trajectory (see Fig. <xref ref-type="fig" rid="Ch1.F8"/>) exceed the signals given in
the calibration curves (see Fig. <xref ref-type="fig" rid="Ch1.F6"/>). Their linear
characteristics had to be extrapolated by a factor of approximately 3.5.
However, at a certain pressure the respective curves will become nonlinear.
This is a gradual transition and depends on parameters such as material,
surface, geometry and temperature of the electrodes and the electrolyte. If
the flux of oxygen delivered by the electrodes via surface diffusion exceeds
the rate at which it can be transported to the anode, the current–pressure
curve flattens. For the molecular oxygen sensors this is observed at currents
beyond 10 <inline-formula><mml:math display="inline"><mml:mrow><mml:mi mathvariant="normal">µ</mml:mi><mml:mi mathvariant="normal">A</mml:mi></mml:mrow></mml:math></inline-formula> (see Fig. <xref ref-type="fig" rid="Ch1.F7"/>). The <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> sensors
differ in a thin layer of gold on the cathode, which will only very slightly
alter its total surface area or the length of the three phase boundary, so
a linear behavior is assumed here up until the levels observed in the
flight. Neglecting an actual nonlinearity in the characteristics, however,
would lead to an underestimation of the number densities. A major uncertainty
during the flight is due to the sensor voltage <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>. As laid out before, the
golden cathode is widely inert towards molecular oxygen, but the other
electrodes are not. This means that the controller may adjust a <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>
different to the value during calibration if the O <inline-formula><mml:math display="inline"><mml:mo>/</mml:mo></mml:math></inline-formula> O<inline-formula><mml:math display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> ratios in both cases
differ. Apart from the “dip” in the profiles discussed earlier this also
affects the total signal level. In fact, sensor voltages of less than half of
the value applied during calibration were observed. There is, however, no
direct linear relation between <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>I</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>; this depends largely on
pressure and oxygen coverage of the electrodes. It is therefore hardly
possible to recover the true signal based on the knowledge of the true
<inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> value. Nevertheless we estimate that the recorded signals could be
lower by 50 % due to this effect. A clue about the total accuracy of the present
methods can be obtained by comparing the absolute values of the results given
in Fig. <xref ref-type="fig" rid="Ch1.F16"/>. If the uncertainties from the
calibration are taken into account, then the atomic oxygen number densities at
the 96 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> peak differ by a maximum factor of about 6.4 between the
fore and aft sensors during the downleg. This includes the aerodynamic
correction based on the numerical simulations. The results from the fore
sensors here suffer from a lower signal-to-noise ratio, and the rise in
<inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> density below 85 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> most likely does not reflect the actual
conditions. If the ram and wake factors are assumed to be correct, based on
the consistent results of the <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:msub><mml:mi mathvariant="normal">O</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:mrow></mml:math></inline-formula> sensor in Fig. <xref ref-type="fig" rid="Ch1.F13"/>, then the high signals in the ram obviously
underestimate the true number density. As discussed before, this would be the
case for an actual nonlinearity in the calibration curves. A further
indication of such nonlinear characteristics can be found regarding the
magnitude of the rise in <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> concentration between 80 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>
altitude and the peak values at about 95 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula>. The results at the lower
end of the profiles coincide well with the values measured in the
NLTE campaign. A more appropriate comparison is the NLC-93 campaign, launched
in geophysical conditions similar to the WADIS-1 flight (July–August,
nighttime but sunlight at a high latitude), which also shows
corresponding results for the low altitudes <xref ref-type="bibr" rid="bib1.bibx9" id="paren.46"/>. The values at
80 <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">km</mml:mi></mml:math></inline-formula> are given as
3.2 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (NLTE) and
2.4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> (NLC-93), and the
present data read 3.4 <inline-formula><mml:math display="inline"><mml:mo>×</mml:mo></mml:math></inline-formula> 10<inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">9</mml:mn></mml:msup></mml:math></inline-formula> <inline-formula><mml:math display="inline"><mml:mi mathvariant="normal">cm</mml:mi></mml:math></inline-formula><inline-formula><mml:math display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for the aft sensors during the downleg. However, the rise in O density to the
peak value is clearly smaller than in the mentioned references. A
nonlinearity in the sensor characteristics could again be responsible for
this underestimation of the high densities. The maximum difference in the
results between the aft sensors alone is below 15 %, which leads to the
conclusion that accurate measurements with the described technique are
possible if the discussed sources of error can be ruled out in future
experiments.</p>
      <p>For upcoming missions the use of sensors with all-golden electrodes should be
considered to eliminate the issues generated by different reactions on
different electrode materials. A further consequence of the findings
described here might be an operation of sensors with a fixed <inline-formula><mml:math display="inline"><mml:mrow><mml:msub><mml:mi>U</mml:mi><mml:mi>S</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>, i.e.
without regulating the reference voltage. This helps to maintain the
electrical conditions used during laboratory calibrations at the expense of
increased nonlinearity of the calibration curve.</p>
      <p>A way to shorten the initial unstable accommodation phase, observed
especially for the front sensors, could be to cover the sensor heads with an
evacuated housing that is separated together with the nose cone or the motor.
Such a procedure has already been realized for the CONE instrument.
The housing should be pumped down to the pressure expected at the altitude of
separation in order to minimize the desorption of gases from the electrodes.</p>
</sec>
</sec>
<sec id="Ch1.S8" sec-type="conclusions">
  <title>Conclusions</title>
      <p>The FIPEX instrument, based on solid electrolyte sensors, was
for the first time used to measure atomic oxygen number densities on a
sounding rocket and has successfully recorded profiles along the trajectory
of WADIS-1. On a qualitative basis the results compare well with the MSIS
standard atmosphere and the profiles obtained in the NLTE-2 campaign.
Measurements with the PHLUX instrument were complicated by solar radiation
and require further analysis. The absolute values derived from FIPEX data in
the ram are by factors of around 5 and 13 lower than the mentioned
references. The wake results on the contrary peak at values reduced by
factors of 1.8 and 4.6, respectively. This might be due to nonlinearities in
the sensor characteristics at higher atomic oxygen densities that could not
be covered in the laboratory calibration. Here further investigations are
needed. Controlling of the sensor voltage in combination with electrodes made
from different materials was identified as a key source of uncertainties
during the flight. For upcoming missions the use of sensors with all golden electrodes
should be considered, which may eliminate disturbances through different
reactions of oxygen on platinum and gold electrodes. The measurements stand
out due to a unprecedented high spatial resolution, showing <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> density
variations on very small vertical scales. The sensors are small and
lightweight and thus enable symmetrical instrumentation on fore and aft
deck in order to measure profiles both during the up- and downleg in the same
ram or wake conditions. This facilitates the detection of <inline-formula><mml:math display="inline"><mml:mrow class="chem"><mml:mi mathvariant="normal">O</mml:mi></mml:mrow></mml:math></inline-formula> density
variations on a horizontal scale.</p>
</sec>

      
      </body>
    <back><ack><title>Acknowledgements</title><p>This work has been funded by the German Aerospace Center. We thank J. Hedin
from MISU, Stockholm, for providing the NLTE data and B. Strelnikov, IAP
Kühlungsborn, for the CONE temperature results. We appreciate the work from
M. Hartling, IRS electronics lab, who designed the sensor electronics. The
efforts of DLR MORABA and the support during the launch campaign are highly
recognized. The platinum electrode sensors have been produced by ESCUBE GmbH
in collaboration with our institute.<?xmltex \hack{\newline}?><?xmltex \hack{\newline}?>
Edited by: D. Heard</p></ack><ref-list>
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