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Quantum chemical studies on the molecular structure, spectroscopic and electronic properties of (6-Methoxy-2-oxo-2H-chromen-4-yl)-methyl pyrrolidine-1-carbodithioate

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(a) The experimental geometric structure of the title compound [18], (b) DFT optimized structure of the title compound, (c) HF optimized structure of the title compound.
(a) The experimental geometric structure of the title compound [18], (b) DFT optimized structure of the title compound, (c) HF optimized structure of the title compound.

Superimposition of the calculated HF (top) and DFT (bottom) and experimental structures of (6-Methoxy-2-oxo-2H-chromen-4-yl)-methyl pyrrolidine-1-carbodithioate.
Superimposition of the calculated HF (top) and DFT (bottom) and experimental structures of (6-Methoxy-2-oxo-2H-chromen-4-yl)-methyl pyrrolidine-1-carbodithioate.

Potential energy profile using the DFT/B3LYP method for the internal rotation around the C18– N6 and C17–C14 bonds.
Potential energy profile using the DFT/B3LYP method for the internal rotation around the C18– N6 and C17–C14 bonds.

Natural atomic charges of (6-Methoxy-2-oxo-2H-chromen-4-yl)-methyl pyrrolidine-1-carbodithioate.
Natural atomic charges of (6-Methoxy-2-oxo-2H-chromen-4-yl)-methyl pyrrolidine-1-carbodithioate.

Theoretical UV-Vis spectra of (6-Methoxy-2-oxo-2H-chromen-4-yl)-methyl pyrrolidine-1-carbodithioate. gas (top) and DSMO (bottom).
Theoretical UV-Vis spectra of (6-Methoxy-2-oxo-2H-chromen-4-yl)-methyl pyrrolidine-1-carbodithioate. gas (top) and DSMO (bottom).

Molecular orbital surfaces and energy levels of (6-Methoxy-2-oxo-2H-chromen-4-yl)-methyl pyrrolidine-1-carbodithioate.
Molecular orbital surfaces and energy levels of (6-Methoxy-2-oxo-2H-chromen-4-yl)-methyl pyrrolidine-1-carbodithioate.

The total electron density mapped with electrostatic potential of the title compound.
The total electron density mapped with electrostatic potential of the title compound.

Selected molecular structure parameters.

ParametersExperimental [18]Calculated 6-311++G(d,p)
B3LYPHF
Bond lengths [Â]
S1–C181.787 (2)1.8151.785
S1–C171.813 (2)1.8391.823
S2–C181.666 (2)1.6691.669
O3–C81.358 (3)1.3641.347
O3–C71.403 (3)1.4211.398
O4–C161.364 (3)1.3901.344
O4–C111.375 (3)1.3651.353
O5–C161.199 (3)1.2041.180
N6–C181.313 (3)1.3411.320
N6–C191.465 (3)1.4791.472
N6–C221.480 (3)1.4781.472
C8–C91.386 (3)1.3881.374
C8–C131.391 (3)1.4061.399
C9–C101.395 (3)1.4111.405
C10–C111.395 (3)1.4001.377
C10–C141.445 (3)1.4111.405
C11–C121.385 (3)1.3961.390
C12–C131.361 (3)1.3801.369
C14–C151.341 (3)1.3551.332
C14–C171.502 (3)1.5041.507
C15–C161.446 (4)1.4551.466
C19–C201.507 (4)1.5321.526
C20–C211.474 (5)1.5351.527
C21–C221.505 (5)1.5311.525
Max. difference

Maximum differences between the bond lengths and angles computed using theoretical methods and those obtained from X-ray diffraction

0.0610.053
RMSE0.0210.018
Bond angles [°]
C18–S1–C17102.70 (11)103.03105.31
C8–O3–C7118.4 (2)118.57119.95
C16–O4–C11121.98 (18)122.35123.06
C18–N6–C19126.0 (2)126.05126.07
C18–N6–C22123.3 (2)122.29122.30
C19–N6–C22110.6 (2)111.64111.61
O3–C8–C9124.1 (2)124.75124.86
O3–C8–C13115.9 (2)115.39115.54
C9–C8–C13119.9 (2)119.85119.59
C8–C9–C10120.1 (2)120.49120.54
C11–C10–C9118.4 (2)118.48118.70
C11–C10–C14117.6 (2)117.46117.19
C9–C10–C14123.99 (19)124.04124.09
O4–C11–C12116.88 (19)116.76116.65
O4–C11–C10121.7 (2)122.19122.29
C12–C11–C10121.4 (2)121.03121.04
C13–C12–C11119.3 (2)119.76119.71
C12–C13–C8120.9 (2)120.35120.38
C15–C14–C10119.0 (2)119.10118.80
C15–C14–C17121.1 (2)119.94120.25
C10–C14–C17119.93 (19)120.94120.92
C14–C15–C16123.0 (2)122.99122.28
O5–C16–O4116.9 (2)117.99119.15
O5–C16–C15126.6 (3)126.11124.49
O4–C16–C15116.5 (2)115.88116.35
C14–C17–S1110.94 (16)112.80113.25
N6–C18–S2124.10 (18)123.67123.54
N6–C18–S1111.67 (17)111.57112.58
S2–C18–S1124.21 (15)124.75123.86
N6–C19–C20104.6 (2)103.67103.58
C21–C20–C19105.7 (3)103.34103.21
C20–C21–C22105.6 (3)103.57103.41
N6–C22–C21103.7 (2)103.75103.61
Max. Difference

Maximum differences between the bond lengths and angles computed using theoretical methods and those obtained from X-ray diffraction

2.362.61
RMSE0.8311.168
Torsion angles [°]
C22–N6–C18–S1178.00178.48178.56
N6–C18–S1–C17–170.98–176.56–174.45
C18–S1–C17–C14103.72105.9998.78
S1–C17–C14–C15–99.35–104.04–107.40

Natural atomic charges (e) of (6-Methoxy-2-oxo-2H-chromen-4-yl)-methyl pyrrolidine-1-carbodithioate.

AtomB3LYPAtomB3LYPAtomB3LYP
S10.24719C10−0.11967C18−0.05156
S2−0.16350C110.32460C19−0.17943
O3−0.54097C12−0.19651H19A0.20289
O4−0.51251H120.22618H19B0.21295
O5−0.56201C13−0.21046C20−0.38867
N6−0.49501H130.22257H20A0.19988
C7−0.20596C140.03099H20B0.21342
H7A0.16955C15−0.28039C21−0.39439
H7B0.19436H150.23948H21A0.20043
H7C0.16919C160.75023H21B0.21463
C80.31283C17−0.53537C22−0.16780
C9−0.25921H17A0.22481H22A0.20388
H90.21104H17B0.26817H22B0.22427

Comparison of the experimental and calculated vibrational frequencies [cm−1].

AssignmentsaExperimental [18]Scaled frequencies with 6-311++G(d,p)
B3LYPHF
ν(C−H)ring30893019
ν(C−H)ring30833015
ν(C−H)ring30782998
ν(C−H3)as30112924
ν(C−H2)as29852889
ν(C−H2)s29262887
ν(C−H3)as29382866
ν(C−H2)s29242883
ν(C−H3)s28832813
ν(C=O)170817221767
ν(C=C)15941604
ν(C=C)ring15811566
ν(C=C)ring15361475
ν(C=C)+α(C−H3)1460
ω(C−H3)14441450
ν(C−N)13891389
ν(C−C)+γ(C−H)ring13481344
ν(C−C)+ω(C−H2)13191335
γ(C−H)ring12461251
ν(C−O)ring+ν(C−O)methoxy127912141233
γ(C−H)ring+ω(C−H2)+ω(C−H3)11841205
δ(C−H2)+ω(C−H3)11581181
ν(C−N)+δ(C−H2)11281181
ω(C−H3)11201045
γ(C−H)ring11091045
γ(C−H)ring+ν(C−O)ring10921076
ν(C−O)methoxy103610241045
ν(C=S)974972
ν(C−O)ring+γ(C−H2)900935
ω(C−H)ring871887
ν(C−N)842835843
ω(C−H)ring816832
ν(C−S)+β(C−H2)792801
ω(C−H)ring728731
ν(C−S)660674666

Selected second-order perturbation energies E(2) associated with i → j delocalization in gas phase.

Donor orbital (i)TypeED/eAcceptor orbital (j)TypeED/eE(2) [kJ/mol]

E(2) energy of hyper conjugative interactions

E(j)-E(i) [a.u.]

Energy difference between donor and acceptor i and j NBO orbitals

F(ij) [a.u.]

Fij is the Fock matrix element between i and j NBO orbitals

S1–C17σ1.96731C14–C15π*0.1601713.080.780.046
S1–C18σ1.97456N6–C22σ*0.0336723.280.950.065
S2–C18σ1.98622S2–C18σ*0.0266119.180.220.033
S2–C18π1.98142N6–C19σ*0.0369620.061.020.063
O5–C16π1.97927C14–C15π*0.1601714.250.560.040
N6–C19σ1.98300S2–C18π*0.0266115.921.020.056
N6–C22σ1.98037S1–C18σ*0.1177615.290.870.052
N6–C22σ1.98037C10–C14σ*0.0334318.011.430.070
N6–C22σ1.98037C14–C15π*0.1601714.710.910.052
N6–C22σ1.98037C14–C17σ*0.0281431.351.600.098
N6–C22σ1.98037C15–H15σ*0.0132516.171.320.064
N6–C22σ1.98037C22–H22Aσ*0.0200298.685.650.326
C7–H9σ1.99099O3–C8σ*0.0294814.500.890.050
C8–C9σ1.97744C9–C10σ*0.0211014.961.260.060
C8–C9π1.70329C10–C11π*0.4227973.940.310.069
C8–C9π1.70329C12–C13π*0.2980669.930.310.064
C8–C13σ1.97225O3–C7σ*0.0089513.040.990.050
C8–C13σ1.97225C8–C9σ*0.0275117.091.270.064
C9–H9σ1.97491C8–C13σ*0.0230016.551.090.059
C9–H9σ1.97491C10–C11σ*0.0342016.801.090.059
C9–C10σ1.96573O3–C8σ*0.0294817.891.050.060
C9–C10σ1.96573O4–C11σ*0.0328515.881.040.056
C9–C10σ1.96573C8–C9σ*0.0275114.251.260.059
C9–C10σ1.96573C10–C11σ*0.0342015.881.250.061
C9–C10σ1.96573C10–C14σ*0.0334313.001.400.059
C10–C11σ1.97068C9–C10σ*0.0211015.001.250.060
C10–C11σ1.97068C11–C12σ*0.0215318.091.250.066
C10–C11π1.61973C8–C9π*0.3655874.480.290.064
C10–C11π1.61973C12–C13π*0.2980671.680.300.066
C10–C11π1.61973C14–C15π*0.1601742.210.450.064
C10–C14σ1.96855C9–C10σ*0.0211015.291.220.060
C11–C12σ1.97260C10–C11σ*0.0342018.931.260.068
C12–H12σ1.97720C8–C13σ*0.0230014.671.070.055
C12–H12σ1.97720C10–C11σ*0.0342017.841.080.061
C12–C13σ1.97210O3–C8σ*0.0294813.501.070.052
C12–C13σ1.97210O4–C11σ*0.0328515.341.060.056
C12–C13π1.71752C8–C9π*0.3655880.670.280.067
C12–C13π1.71752C10–C11π*0.4227975.530.310.069
C13–H13σ1.97744C8–C9σ*0.0275117.931.090.061
C13–H13σ1.97744C11–C12σ*0.0215313.911.060.053
C14–C15σ1.97636C9–C10σ*0.0211013.331.290.057
C14–C15π1.80442S1–C17σ*0.0262620.270.420.042
C14–C15π1.80442O5–C16π*0.2874491.540.300.074
C14–C15π1.80442C10–C11π*0.4227943.760.320.055
C15–H15σ1.97420O4–C16σ*0.1239517.720.840.055
C15–H15σ1.97420C10–C14σ*0.0334319.521.230.068
C15–C16σ1.98160C14–C15σ*0.0195412.541.320.056
C15–C16σ1.98160C14–C17σ*0.0281414.331.560.066
C17–H17Bσ1.97909C10–C14σ*0.0334314.961.230.059
C19–C20σ1.97909N6–C18σ*0.0599815.041.090.057
C21–C22σ1.98228N6–C18σ*0.0599814.081.090.055
C21–C22σ1.98228C10–C14σ*0.0334320.641.330.073
C21–C22σ1.98228C14–C15π*0.1601725.530.810.065
C21–C22σ1.98228C14–C17σ*0.0281441.001.490.108
C21–C22σ1.98228C22–H22Aσ*0.02002100.575.550.326
C22–H22Aσ1.98004C10–C14σ*0.0334318.931.220.067
C22–H22Aσ1.98004C14–C17σ*0.0281438.581.390.101
C22–H22Aσ1.98004C15–H15σ*0.0132514.791.120.056
C22–H22Aσ1.98004C21–H21Aσ*0.0145721.690.940.063
C22–H22Aσ1.98004C21–C22σ*0.0129615.462.760.090
C22–H22Aσ1.98004C22–H22Aσ*0.0200266.545.440.263
C22–H22Aσ1.98004C22–H22Bσ*0.0200251.992.820.168
C22–H22Bσ1.98156C10–C14σ*0.0334361.611.210.120
C22–H22Bσ1.98156C14–C15π*0.1601752.540.700.087
C22–H22Bσ1.98156C14–C17σ*0.02814118.161.380.177
C22–H22Bσ1.98156C15–H15σ*0.0132546.941.110.100
C22–H22Bσ1.98156C22–H22Aσ*0.02002269.025.440.528
C22–H22Bσ1.98156C22–H22Bσ*0.0156033.272.820.134
S1LP(1)1.97272S2–C18π*0.0266128.340.930.071
S1LP(2)1.81217S2–C18σ*0.50942126.610.180.072
S2LP(1)1.97823S1–C18σ*0.1177619.350.860.058
S2LP(1)1.97823N6–C18σ*0.0599813.831.180.056
S2LP(2)1.82347S1–C18σ*0.1177669.050.350.068
S2LP(2)1.82347N6–C18σ*0.0599846.730.670.080
S2LP(2)1.82347C17–H17Bσ*0.0328316.630.610.046
O3LP(1)1.96313C8–C9σ*0.0275129.051.110.079
O3LP(2)1.84590C7–H7Aσ*0.0190223.360.690.057
O3LP(2)1.84590C7–H7Cσ*0.0190823.530.690.058
O3LP(2)1.84590C8–C9π*0.36558125.230.340.095
O4LP(1)1.96311C10–C11σ*0.0342026.541.090.074
O4LP(1)1.96311C15–C16σ*0.0547718.761.000.060
O4LP(2)1.74309O5–C16π*0.28744146.130.350.100
O4LP(2)1.74309C10–C11π*0.42279113.650.370.094
O5LP(2)1.83314O4–C16σ*0.12395156.330.570.131
O5LP(2)1.83314C15–C16σ*0.0547766.750.700.097
N6LP(1)1.61189S2–C18σ*0.50942357.010.190.118
N6LP(1)1.61189C19–H19Aσ*0.0212123.610.650.060
N6LP(1)1.61189C19–H19Bσ*0.0162113.540.670.046
O4–C16σ*0.12395O4–C11σ*0.03285114.190.020.080
O5–C16π*0.28744C14–C15π*0.1601731.390.170.067
C8–C9π*0.36558C10–C11π*0.42279532.950.020.077
C8–C9π*0.36558C12–C13π*0.29806830.560.010.082
C10–C11π*0.42279C14–C15π*0.16017135.680.140.113
C10–C11π*0.42279C14–C17σ*0.0281414.080.830.099
C10–C11π*0.42279C22–H22Aσ*0.0200218.684.890.280
C14–C15π*0.16017C10–C14σ*0.0334324.280.520.158
C14–C15π*0.16017C14–C17σ*0.0281436.650.690.226
C14–C15π*0.16017C15–H15σ*0.0132514.420.410.114
C14–C15π*0.16017C22–H22Aσ*0.0200260.614.740.780

Thermodynamic properties at different temperatures at B3LYP/6-311++G(d,p) level.

THm0 ${\text{H}}_{\text{m}}^{\text{0}}$ Cp,m0 ${\text{C}}_{{\text{p,m}}}^{\text{0}}$ Sm0 ${\text{S}}_{\text{m}}^{\text{0}}$
[K][kJ⋅mol−1][J⋅mol−1⋅K−1][J⋅mol−1⋅K−1]
20029.30237.84545.94
25042.84287.79606.22
30058.89338.28664.70
35077.45387.27721.80
40098.39433.17777.68
450121.55475.18832.15
500146.67513.09885.07
550173.63547.07936.40
600202.18577.55986.06

Theoretical and experimental 1H and 13C isotropic chemical shifts (with respect to TMS values in ppm) for the title compound.

AtomGasEthanolDMSO
B3LYPHFB3LYPHFB3LYPHF
H7A3.753.673.923.653.933.63
H7B4.144.044.244.034.244.03
H7C3.693.643.883.623.893.65
H96.717.037.067.007.077.02
H127.377.817.487.807.497.80
H137.307.757.487.737.497.74
H156.806.736.776.736.776.72
H17A4.004.034.333.994.354.01
H17B5.505.245.465.235.455.23
H19A3.403.083.473.063.473.06
H19B3.763.463.823.443.823.45
H20A1.981.872.111.852.121.86
H20B2.071.942.131.932.131.93
H21A1.891.732.001.712.001.71
H21B1.951.922.081.912.081.91
H22A3.753.393.773.383.773.38
H22B4.303.884.243.884.183.87
C756.7650.2657.9250.7058.0850.73
C8163.38159.94164.94160.39165.10160.41
C9106.50109.31109.16109.62109.44109.74
C10126.16122.12126.87122.58127.00122.60
C11158.96151.76158.40152.26158.49152.25
C12124.72127.27124.96127.81125.04127.77
C13127.92130.96129.74131.39129.90131.43
C14159.64164.12164.81164.28165.16164.50
C15122.61119.57120.63120.23120.64120.11
C16163.72164.98167.21165.29167.44165.41
C1742.9533.3443.1733.8043.2933.82
C18205.44226.88206.75227.35206.97227.36
C1953.2947.8055.2548.2055.4448.26
C2030.8626.3031.4626.7631.5926.78
C2128.6924.5729.2325.0429.3525.05
C2260.2953.0362.2053.4562.3853.50
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