Table 5
Predictions of MADEX applied to CH+ and SiO.
| aCH+ | bSiO | |||||||||||||
|
|
||||||||||||||
| Λ | Te (cm-1) | ωe (cm-1) | Be (cm-1) | Te (cm-1) | ωe (cm-1) | Be (cm-1) | ||||||||
| 0 | 2.858 (+03) | 1.418 (+01) | 1.242 (+03) | 7.242 (−01) | ||||||||||
| 1 | 2.412 (+04) | 1.864 (+03) | 1.189 (+01) | 4.284 (+04) | 8.528 (+02) | 6.307 (−01) | ||||||||
|
|
||||||||||||||
| MΛ′υ′Λ′′υ′′ (ea0) | MΛ′υ′Λ′′υ′′ (ea0) | |||||||||||||
| υ′′\υ′ | 0 | 1 | 2 | 3 | 4 | 0 | 1 | 2 | 3 | 4 | ||||
| Λ′ → Λ′′ 1 → 0 |
0 | 2.2 (−1) | 1.6 (−1) | 1.0 (−1) | 6.5 (−2) | 4.1 (−2) | 2.0 (+0) | 2.7 (+0) | 2.6 (+0) | 2.0 (+0) | 1.3 (+0) | |||
| 1 | 1.1 (−1) | 9.1 (−2) | 1.5 (−1) | 1.3 (−1) | 1.1 (−1) | 2.7 (+0) | 1.9 (+0) | 1.6 (+0) | 1.5 (+0) | 2.1 (+0) | ||||
| 2 | 4.6 (−2) | 1.1 (−1) | 1.6 (−2) | 7.0 (−2) | 1.0 (−1) | 2.8 (+0) | 1.4 (−1) | 1.8 (+0) | 1.5 (+0) | 6.6 (−2) | ||||
| 3 | 1.6 (−2) | 7.2 (−2) | 6.5 (−2) | 6.7 (−2) | 1.5 (−2) | 2.4 (+0) | 1.3 (+0) | 1.7 (+0) | 3.4 (−1) | 1.6 (+0) | ||||
| 4 | 5.1 (−3) | 3.5 (−2) | 7.6 (−2) | 2.1 (−3) | 5.2 (−2) | 1.8 (+0) | 2.1 (+0) | 4.8 (−1) | 1.6 (+0) | 9.8 (−1) | ||||
| MΛ′υ′Λ′′υ′′ (ea0) | MΛ′υ′Λ′′υ′′ (ea0) | |||||||||||||
| υ′′\υ′ | 0 | 1 | 2 | 3 | 4 | 0 | 1 | 2 | 3 | 4 | ||||
| Λ′ → Λ′′ 0 → 0 |
0 | 6.6 (−1) | 6.3 (−3) | 6.6 (−5) | 6.5 (−7) | 6.5 (−9) | 2.0 (+0) | 4.1 (−2) | 2.3 (−3) | 1.6 (−4) | 1.9 (−5) | |||
| 1 | 6.6 (−1) | 9.6 (−3) | 7.7 (−4) | 2.0 (−5) | 6.1 (+0) | 5.7 (−2) | 4.4 (−3) | 3.2 (−4) | ||||||
| 2 | 6.7 (−1) | 1.3 (−2) | 2.9 (−3) | 1.2 (+1) | 6.9 (−2) | 6.2 (−3) | ||||||||
| 3 | 6.7 (−1) | 1.8 (−2) | 1.8 (+1) | 7.8 (−2) | ||||||||||
| 4 | 6.8 (−1) | 2.0 (+1) | ||||||||||||
|
|
||||||||||||||
 (cm3
s-1) |
(cm3
s-1) |
|||||||||||||
| J′′\J′ | 0 | 1 | 2 | 3 | 4 | 5 | 0 | 1 | 2 | 3 | 4 | 5 | ||
| 0 | 8.1 (–11) | 5.3 (–11) | 1.1 (–11) | 8.4 (–12) | 9.1 (–13) | 2.8 (–11) | 1.1 (–11) | 7.3 (–12) | 1.2 (–12) | 2.1 (–12) | ||||
| 1 | 1.6 (–10) | 8.8 (–11) | 7.5 (–11) | 1.2 (–11) | 1.9 (–11) | 8.4 (–11) | 4.9 (–11) | 1.6 (–11) | 1.4 (–11) | 2.0 (–12) | ||||
| 2 | 8.0 (–11) | 6.6 (–11) | 5.9 (–11) | 8.4 (–11) | 5.4 (–12) | 5.0 (–11) | 7.8 (–11) | 5.4 (–11) | 1.9 (–11) | 1.7 (–11) | ||||
| 3 | 7.0 (–12) | 2.4 (–11) | 2.5 (–11) | 3.7 (–11) | 7.1 (–11) | 4.5 (–11) | 3.4 (–11) | 7.1 (–11) | 5.5 (–11) | 2.0 (–11) | ||||
| 4 | 1.4 (–12) | 9.5 (–13) | 9.2 (–12) | 9.6 (–12) | 2.4 (–11) | 8.5 (–12) | 3.4 (–11) | 2.9 (–11) | 6.6 (–11) | 5.6 (–11) | ||||
| 5 | 2.5 (–14) | 2.5 (–13) | 9.8 (–14) | 3.1 (–12) | 4.0 (–12) | 1.7 (–11) | 5.5 (–12) | 2.8 (–11) | 2.6 (–11) | 6.1 (–11) | ||||
|
|
||||||||||||||
| ∑ [D] kD (cm3 s-1) |  (s-1) |
∑ [D] kD (cm3 s-1) | (s-1) |
|||||||||||
| 6.24 (−10) | 3.30 (−10) | 9.35 (−14) | 1.60 (−09) | |||||||||||
|
|
||||||||||||||
| nJ/n(CH+) | nJ/n(SiO) | |||||||||||||
| J | 0 | 1 | 2 | 3 | 4 | 5 | 0 | 1 | 2 | 3 | 4 | 5 | ||
| ❶ | 1.0 (+00) | 1.4 (–03) | 1.5 (–05) | 3.8 (–07) | 2.6 (–08) | 3.2 (–10) | 2.6 (–01) | 4.5 (–01) | 2.3 (–01) | 4.2 (–02) | 3.5 (–03) | 3.1 (–04) | ||
| ❷ | 1.0 (+00) | 4.3 (–03) | 5.9 (–05) | 4.8 (–06) | 4.5 (–07) | 3.4 (–08) | 2.6 (–01) | 4.5 (–01) | 2.3 (–01) | 4.2 (–02) | 3.5 (–03) | 3.1 (–04) | ||
| χnir | 103 | ❸ | 1.0 (+00) | 4.3 (–03) | 5.9 (–05) | 4.8 (–06) | 4.5 (–07) | 3.4 (–08) | 2.6 (–01) | 4.5 (–01) | 2.3 (–01) | 4.2 (–02) | 3.5 (–03) | 3.1 (–04) |
| 105 | ❸ | 1.0 (+00) | 4.3 (–03) | 5.9 (–05) | 4.8 (–06) | 4.5 (–07) | 3.4 (–08) | 2.6 (–01) | 4.5 (–01) | 2.3 (–01) | 4.2 (–02) | 3.6 (–03) | 3.1 (–04) | |
| 107 | ❸ | 1.0 (+00) | 4.6 (–03) | 7.0 (–05) | 4.8 (–06) | 4.5 (–07) | 3.4 (–08) | 2.1 (–01) | 4.2 (–01) | 2.8 (–01) | 7.1 (–02) | 7.2 (–03) | 5.4 (–04) | |
| χopt/UV | 102 | ❸ | 1.0 (+00) | 4.3 (–03) | 5.9 (–05) | 4.8 (–06) | 4.5 (–07) | 3.4 (–08) | 2.5 (–01) | 4.5 (–01) | 2.3 (–01) | 4.5 (–02) | 4.0 (–03) | 3.7 (–04) |
| 103 | ❸ | 1.0 (+00) | 4.3 (–03) | 6.1 (–05) | 4.9 (–06) | 4.5 (–07) | 3.4 (–08) | 2.1 (–01) | 4.3 (–01) | 2.6 (–01) | 7.1 (–02) | 9.3 (–03) | 1.1 (–03) | |
| 104 | ❸ | 9.9 (–01) | 5.0 (–03) | 7.2 (–05) | 5.4 (–06) | 4.8 (–07) | 3.6 (–08) | 9.3 (–02) | 3.0 (–01) | 3.1 (–01) | 1.9 (–01) | 7.1 (–02) | 1.8 (–02) | |
| χopt/UV | 102 | ❹ | 1.0 (+00) | 4.3 (–03) | 6.0 (–05) | 4.8 (–06) | 4.5 (–07) | 3.4 (–08) | 2.5 (–01) | 4.5 (–01) | 2.3 (–01) | 4.8 (–02) | 4.5 (–03) | 4.8 (–04) |
| 103 | ❹ | 1.0 (+00) | 4.5 (–03) | 6.3 (–05) | 5.1 (–06) | 4.7 (–07) | 3.6 (–08) | 1.9 (–01) | 4.1 (–01) | 2.8 (–01) | 9.0 (–02) | 1.5 (–02) | 2.4 (–03) | |
| 104 | ❹ | 9.9 (–01) | 6.4 (–03) | 9.9 (–05) | 8.0 (–06) | 7.2 (–07) | 5.5 (–08) | 6.6 (–02) | 2.5 (–01) | 2.9 (–01) | 2.2 (–01) | 1.1 (–01) | 3.8 (–02) | |
Notes. From top to bottom: molecular constants of the
X1Σ+ and A1Π
electronic states, transition dipole moments of the
A1Π − X1Σ+ and
X1Σ+ − X1Σ+
band systems, nonreactive collisional rates, chemical destruction rates and
photodissociation rates, and populations of the rotational levels predicted with
MADEX for 
.
The collisional rates and the predictions of the level populations are computed for
TD = TF = TK = 100
K, nH = 104 cm-3,
[H2] = 0.5, and [e−] = 10-4. For both
molecules, MADEX was run in the four configurations ❶, ❷, ❸, and ❹ (see main text).
In cases ❸ and ❹, the values of the radiation field scaling factors
χnir and χopt/UV are 1
unless specified otherwise. Numbers in parenthesis are power of ten.
References.
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