7 Aerosol Particle Measurements

CN Counter Inlet Pressure (hPa): PCN

The absolute pressure inside the inlet tube of the instrument. It as measured by a Heise Model 623 pressure sensor for the 3760A, and internally by the 3786 WCN.. The measurement is used to convert the measured mass flow (FCN or XICN) to volumetric flow and to convert measured particle concentration to equivalent ambient concentration.

CN Counter Inlet Temperature (^∘C): CNTEMP, TEMP1, TEMP2

The sample air temperature measured at the intake of the 3760A or within the 3786. The value is used to convert the measured mass flow (FCN or XICN) to true volumetric flow and to convert measured particle concentration to equivalent ambient concentration.

Raw and Corrected CN Counter Sample Flow Rate (SLPM, VLPM): FCN, FCNC

The raw and corrected sample flows in the CN counters are treated differently for the two models of CN counter. In the 3760A, FCN is measured in standard liters per minute (SLPM) with a mass flow meter. The flow meter gives the volumetric flow rate that would apply under standard conditions of 1013.25 hPa and 21^∘C. FCNC is the corrected sample flow rate in volumetric liters per minute (VLPM) at instrument pressure and temperature. For the 3760A:

PCN = pressure at the inlet to the CN counter [hPa]
CNTEMP = temperature at the inlet of the sample tube [\(^{\circ}\)C]
\(p_{std}\) = standard reference pressure, 1013.25 hPa
\(T_{std}\) = standard reference temperature, 294.15 K
\(T_{0}\) = 273.15 K

\[\begin{equation} \mathrm{\{FCNC\} = \{FCN\}}\frac{p_{std}}{\mathrm{\{PCN\}}}\frac{(\{\mathrm{CNTEMP\}}+T_{0})}{T_{std}} \tag{7.1} \end{equation}\]

In the 3786, flows are determined in volumetric cm\(^{3}\thinspace\mathrm{min}^{-1}\) from the pressure drop across an orifice. The 3786 firmware makes density corrections internally, so its reported sample flow is brought directly into the variable FCNC in units of VLPM.

Raw and Corrected CN Isokinetic Side Flow Rate (SLPM, VLPM): XICN, XICNC

XICN is the raw isokinetic side flow rate in standard liters per minute (SLPM) measured with a mass flow meter, and XICNC is that flow corrected for pressure and temperature to be the true volumetric flow. The side flow is adjusted for isokinetic sampling at the inlet, but it is not used further in processing.

XICN = side-flow rate [SLPM]
PCN = pressure at the inlet to the CN counter [hPa]
CNTEMP = temperature at the inlet of the sample tube [\(^{\circ}\)C]
\(p_{std}\) = standard reference pressure, 1013.25 mb
\(T_{std}\) = 294.15 K
\(T_{0}\) = 273.15 K

\[\begin{equation} \mathrm{\{XICNC\} = \{XICN\}}\frac{p_{std}}{\mathrm{\{PCN\}}}\frac{(\{\mathrm{CNTEMP\}}+T_{0})}{T_{std}} \tag{7.2} \end{equation}\]

CN Counter Output (counts per sample interval): CNTS

The raw output count from the condensation nucleus counter. For the 3760A condensation nucleus counter, the project-dependent sample rate may be chosen in the range from 1–50 Hz but it is typically 10 Hz. In some unusual cases the counts are divided by a selected power of two to keep the counter from overflowing; see project documentation. The 3786 WCN may be programmed to report data at intervals from 0.1–3600 s.

Condensation Nucleus (CN) Concentration (cm^-3): CONCN

The number concentration of condensation nuclei in units of particles per cm³ in the ambient air at flight level. The calculation leading to CONCN includes two corrections. The first accounts for coincidence of particles in the viewing volume at high concentrations and is handled differently in the two types of CN counter. For the 3760A, a statistical adjustment is made based on the average time of a particle in the viewing volume. This correction increases from about 1% at a total concentration of 10³ cm^− 3 to nearly 11% at 10⁴ cm^− 3, but for concentrations above about 2 x 10⁴ cm^− 3 significant uncertainty remains. The 3786 instead measures the time each detected particle occupies the viewing volume, and this accumulated “dead time” in each sampling interval is subtracted from the elapsed time yielding a “live time” for the determination of sample volume. With this correction an accuracy of 12%, not including statistical counting error, is specified by the manufacturer at concentrations up to 10⁵ cm^− 3. The second correction, applied to all CN counters, is a conversion from instrument to ambient conditions.⁴⁷ In the following formulae, the corrected flow FCNC in VLPM is explicitly converted to cm³s^− 1 by the factor (1000/60).

For the 3760A:

CNTS = particle counts per sample interval from the CN counter
\(\Delta t\) = interval between recorded samples [s]
\(D\) = scale factor (legacy; normally 1)
\(C_{flow}\) = conversion factor, (1000/60) cm\(^{3}\)L\(^{-1}\)min s\(^{-1}\)
FCNC = corrected sample flow rate (VLPM) for instrument conditions
\(t_{vv}\) = average time a particle is in the view volume
       = 0.4\(\times10^{-6}\) s
PCN = pressure at the inlet to the CN counter [hPa]
CNTEMP = temperature at the inlet of the sample tube [\(^{\circ}\)C]
PSXC = corrected ambient pressure [hPa]
ATX = ambient temperature [\(^{\circ}\)C]
\(T_{0}\) = 273.15 K

\[\begin{equation} \mathrm{A=\frac{\{CNTS\}}{\mathrm{(\{FCNC\}\times C_{flow})}\Delta t}\,D} \tag{7.3} \end{equation}\] The flow under instrument conditions, corrected for coincidence, is then
\[\begin{equation} B\mathrm{=A}\,e^{At_{vv}(\mathrm{\{FCNC\}\times C_{flow})}} \tag{7.4} \end{equation}\] and the concentration under ambient conditions is
\[\begin{equation} \mathrm{\{CONCN\}}=B\frac{\mathrm{\{PSXC\}}}{\mathrm{\{PCN\}}}\frac{\mathrm{(\{CNTEMP\}}+T_{0})}{(\mathrm{\{ATX\}}+T_{0})} \tag{7.5} \end{equation}\]

For the 3786 WCN:

CNTS = particle counts per sample interval from the CN counter
\(\Delta t\) = interval between recorded samples [s]
\(t_{d}\) = cumulative dead time during the sampling interval [s]
\(C_{flow}\) (see preceding box)
FCNC = corrected sample flow rate (VLPM) for instrument conditions
PCN = internal pressure of the CN counter [hPa]
CNTEMP = temperature of the optics block [\(^{\circ}\)C]
PSXC = corrected ambient pressure [hPa]
ATX = ambient temperature [\(^{\circ}\)C]
\(T_{0}\) = 273.15 K

\[\begin{equation} \mathrm{A=\frac{\{CNTS\}}{\mathrm{(\{FCNC\}\times C_{flow})}(\Delta t-t_{d})}} \tag{7.6} \end{equation}\] \[\begin{equation} \mathrm{\{CONCN\}}=A\frac{\mathrm{\{PSXC\}}}{\mathrm{\{PCN\}}}\frac{\mathrm{(\{CNTEMP\}}+T_{0})}{(\mathrm{\{ATX\}}+T_{0})} \tag{7.7} \end{equation}\]

UHSAS Absolute Pressure in Optics Block (kPa): UPRESS

The pressure internal to the UHSAS instrument. This is an analog measurement with calibration coefficients as recorded in the attributes for the variable.

Raw and Corrected Sample Flow Rate (cm³s^-1): USMPFLW or PFLW; USFLWC or PFLWC

Unlike the other 1-d probes, both UHSAS and PCASP have internal pumps so their sample volumes are determined from the measured flows and do not depend on true air speed. The UHSAS measures volumetric flow directly, and it is adjusted to ambient conditions for the calculation of ambient concentration. The PCASP returns a mass flow referenced to standard conditions, and this also is converted to equivalent ambient volumetric flow.

UPRESS = internal UHSAS pressure [kPa]
USMPFLW = measured volumetric sample flow [cm\(^{3}\)s\(^{-1}\)]
PFLW = sample mass flow referenced to standard conditions [cm\(^{3}\)s\(^{-1}\)]
\(T_{blk}\) = UHSAS optical block temperature, 305 K
\(p_{std}\) = standard pressure, 1013.25 hPa
\(T_{std}\) = standard temperature, 298.15 K
PSXC = corrected ambient pressure [hPa]
ATX = ambient temperature [\(^{\circ}\)C]
\(T_{0}\) = 273.15 K

\[\begin{equation} \mathrm{\{PFLWC\}}=\mathrm{\{PFLW\}}\frac{p_{std}}{\mathrm{\{PSXC\}}}\frac{(\mathrm{\{ATX\}}+T_{0})}{T_{std}} \tag{7.8} \end{equation}\] \[\begin{equation} \mathrm{\{USFLWC\}}=\mathrm{\{USMPFLW\}}\frac{(\mathrm{\{UPRESS\}}\times 10)} {\mathrm{\{PSXC\}}}\frac{\mathrm{(\{ATX\}}+T_{0})}{T_{blk}} \tag{7.9} \end{equation}\]

Total particle counts per sample interval, UHSAS or PCASP: TCNTU, TCNTP

The total particle counts in each sample interval for, respectively, the UHSAS and PCASP instruments. These values are the sum of counts in all cells of the spectrometers, as represented in the vector variables AUHSAS or AS200. See the discussion of these variables in Sect. 5.2.

Concentration, sum over all channels (cm^-3s^-1): CONCU, CONCP, CONCU100, CONCU500

The particle concentrations summed over all or a subset of channels. CONCU and CONCP are summed over all channels in the UHSAS and PCASP, respectively, and are calculated as in the following boxed equations. CONCU100 and CONCU500 are concentrations summed over channels in the UHSAS giving particle concentrations for diameters greater than or equal to 100 nm and 500 nm, respectively, and are calculated as for CONCU except with TCNTU replaced by the sum over the appropriate channels.

TCNTU = total particle counts per sample interval, UHSAS
TCNTP = total particle counts per sample interval, PCASP
\(\Delta t\) = sample interval [s]
USFLWC = corrected sample flow rate, UHSAS [cm\(^{3}\)s\(^{-1}\)]
PFLWC = corrected sample flow rate, PCASP [cm\(^{3}\)s\(^{-1}\)]

\[\begin{equation} \mathrm{\{CONCU\}}=\frac{\mathrm{\{TCNTU\}}}{\mathrm{\{USFLWC\}}\Delta t} \tag{7.10} \end{equation}\] \[\begin{equation} \mathrm{\{CONCP\}}=\frac{\mathrm{\{TCNTP\}}}{\mathrm{\{PFLWC\}}\Delta t} \tag{7.11} \end{equation}\]