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vibrations frequencies spectrum
notation experiment calculation
vibration rotation gas-phase neon argon krypton xenon harmonic anharmonic



ν3[F2]



νasCH
R(1) 3038.5 3027.1 3040.9 3030.0 3018.3
R(0) 3028.8 3027.4 3037.3 3026.5 3013.3
R(0)' n.a. 3020.0 3033.5 3022.2 n.a.
Q 3018.8 3018.6 3029.2 3018.8 3005.3 3163.7 3024.5
P(1) 3009.0 3014.9 3022.2 3010.1 2995.6
ν1[A1] νsCH Q 2917 n.a. n.a. 2915.7 2905.4 3040.8 2919.6
ν2[E] δasCH Q 1534 n.a. n.a. n.a. n.a. 1572.3 1533.9



ν4[F2]



δsCH
R(1) 1316.8 1309.5 1309.8 1306.9 1304.8
R(0) 1311.4 1308.4 1306.6 1303.4 1300.7
R(0)' 1307.3 1305.9
Q 1305.8 1306.3 1302.7 1299.1 1295.7 1346.8 1312.1
P(1) 1300.3 1303.9 1298.7 1294.8 1290.9

Note: The frequencies of the molecular vibrations are given in wavenumbers cm-1.

Notation

• The notation of rotational-vibrational transitions indicates, above all, whether the transition is found in the P-, Q-, or R-branch. The number in the brackets stands for the change in the rotational quantum number ΔJ = J' - J'' caused by the state transition, where J' indicates the target state and J'' the initial state. Consequently, the rotational transitions (J' ← J'') are labeled as R(J'') for ΔJ = +1, as Q(J'') for ΔJ = 0, and as P(J'') for ΔJ = -1.

Experiment

• Methane's spectrum has been studied in matrices of neon ( Dinu 2020, ??), argon ( Dinu 2020, ??), krypton ( ??) and xenon ( ??), among others ( ??).

• There are systematic rotational-vibrational transitions assignable in matrix-isolation infrared spectra.

• Methan is not considered to occupy different cages within solid matrices ??

Calculation

• Anharmonic frequencies are form vibrational self-consistent field and configuration interaction (VSCF/VCI) calculations relying on a 3-mode potential energy surface using CCSD(T)/aug-cc-pVTZ energies, see Dinu 2020.