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All results from a given calculation for C6H12 ((1r,3r)-1,3-dimethylcyclobutane)

using model chemistry: B3LYP/TZVP

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2H 1Ag
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Energy calculated at B3LYP/TZVP
 hartrees
Energy at 0K-235.925768
Energy at 298.15K 
HF Energy-235.925768
Nuclear repulsion energy248.157350
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYP/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 Ag 3078 2971 0.00      
2 Ag 3049 2943 0.00      
3 Ag 3038 2933 0.00      
4 Ag 3014 2910 0.00      
5 Ag 1500 1448 0.00      
6 Ag 1498 1446 0.00      
7 Ag 1414 1365 0.00      
8 Ag 1377 1329 0.00      
9 Ag 1255 1211 0.00      
10 Ag 1110 1072 0.00      
11 Ag 964 931 0.00      
12 Ag 882 852 0.00      
13 Ag 660 638 0.00      
14 Ag 316 305 0.00      
15 Au 3077 2970 72.75      
16 Au 3038 2933 83.20      
17 Au 1501 1449 3.67      
18 Au 1478 1427 7.33      
19 Au 1291 1246 0.67      
20 Au 1161 1120 0.58      
21 Au 1012 977 3.29      
22 Au 889 858 0.13      
23 Au 261 252 0.02      
24 Au 234 226 0.07      
25 Bg 3085 2978 0.00      
26 Bg 3076 2970 0.00      
27 Bg 1499 1447 0.00      
28 Bg 1283 1239 0.00      
29 Bg 1242 1199 0.00      
30 Bg 1130 1091 0.00      
31 Bg 914 882 0.00      
32 Bg 809 781 0.00      
33 Bg 385 372 0.00      
34 Bg 257 248 0.00      
35 Bu 3093 2986 122.43      
36 Bu 3074 2968 61.79      
37 Bu 3037 2932 16.03      
38 Bu 3014 2910 62.47      
39 Bu 1500 1448 13.24      
40 Bu 1416 1367 7.56      
41 Bu 1359 1312 9.50      
42 Bu 1283 1239 2.02      
43 Bu 1198 1156 0.50      
44 Bu 1041 1005 1.44      
45 Bu 906 874 1.62      
46 Bu 783 755 1.49      
47 Bu 430 415 0.11      
48 Bu 72i 70i 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 36417.4 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 35157.4 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYP/TZVP
ABC
0.27529 0.07518 0.06707

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/TZVP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.097
C2 0.000 0.000 -1.097
C3 0.000 1.106 0.000
C4 0.000 -1.106 0.000
C5 1.186 2.058 0.000
C6 -1.186 -2.058 0.000
H7 0.884 0.000 1.738
H8 -0.884 0.000 1.738
H9 0.884 0.000 -1.738
H10 -0.884 0.000 -1.738
H11 -0.926 1.686 0.000
H12 0.926 -1.686 0.000
H13 2.132 1.508 0.000
H14 -2.132 -1.508 0.000
H15 1.178 2.703 -0.883
H16 1.178 2.703 0.883
H17 -1.178 -2.703 -0.883
H18 -1.178 -2.703 0.883

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.19321.55771.55772.61662.61661.09221.09222.96932.96932.21412.21412.83222.83223.55172.95623.55172.9562
C22.19321.55771.55772.61662.61662.96932.96931.09221.09222.21412.21412.83222.83222.95623.55172.95623.5517
C31.55771.55772.21241.52113.37962.24192.24192.24192.24191.09242.94162.16943.37322.17202.17204.08394.0839
C41.55771.55772.21243.37961.52112.24192.24192.24192.24192.94161.09243.37322.16944.08394.08392.17202.1720
C52.61662.61661.52113.37964.75142.71093.39762.71093.39762.14483.75331.09414.87121.09371.09375.38895.3889
C62.61662.61663.37961.52114.75143.39762.71093.39762.71093.75332.14484.87121.09415.38895.38891.09371.0937
H71.09222.96932.24192.24192.71093.39761.76793.47613.89983.02302.42172.61763.79343.77692.85014.29293.5054
H81.09222.96932.24192.24193.39762.71091.76793.89983.47612.42173.02303.79342.61764.29293.50543.77692.8501
H92.96931.09222.24192.24192.71093.39763.47613.89981.76793.02302.42172.61763.79342.85013.77693.50544.2929
H102.96931.09222.24192.24193.39762.71093.89983.47611.76792.42173.02303.79342.61763.50544.29292.85013.7769
H112.21412.21411.09242.94162.14483.75333.02302.42173.02302.42173.84693.06303.41402.49812.49814.48414.4841
H122.21412.21412.94161.09243.75332.14482.42173.02302.42173.02303.84693.41403.06304.48414.48412.49812.4981
H132.83222.83222.16943.37321.09414.87122.61763.79342.61763.79343.06303.41405.22261.76611.76615.42835.4283
H142.83222.83223.37322.16944.87121.09413.79342.61763.79342.61763.41403.06305.22265.42835.42831.76611.7661
H153.55172.95622.17204.08391.09375.38893.77694.29292.85013.50542.49814.48411.76615.42831.76695.89706.1560
H162.95623.55172.17204.08391.09375.38892.85013.50543.77694.29292.49814.48411.76615.42831.76696.15605.8970
H173.55172.95624.08392.17205.38891.09374.29293.77693.50542.85014.48412.49815.42831.76615.89706.15601.7669
H182.95623.55174.08392.17205.38891.09373.50542.85014.29293.77694.48412.49815.42831.76616.15605.89701.7669

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 89.501 C1 C3 C5 116.392
C1 C3 H11 112.140 C1 C4 C2 89.501
C1 C4 C6 116.392 C1 C4 H12 112.140
C2 C3 C5 116.392 C2 C3 H11 112.140
C2 C4 C6 116.392 C2 C4 H12 112.140
C3 C1 C4 90.499 C3 C1 H7 114.423
C3 C1 H8 114.423 C3 C2 C4 90.499
C3 C2 H9 114.423 C3 C2 H10 114.423
C3 C5 H13 111.050 C3 C5 H15 111.277
C3 C5 H16 111.277 C4 C1 H7 114.423
C4 C1 H8 114.423 C4 C2 H9 114.423
C4 C2 H10 114.423 C4 C6 H14 111.050
C4 C6 H17 111.277 C4 C6 H18 111.277
C5 C3 H11 109.199 C6 C4 H12 109.199
H7 C1 H8 108.070 H9 C2 H10 108.070
H13 C5 H15 107.654 H13 C5 H16 107.654
H14 C6 H17 107.654 H14 C6 H18 107.654
H15 C5 H16 107.753 H17 C6 H18 107.753
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.354      
2 C -0.354      
3 C 0.067      
4 C 0.067      
5 C -0.399      
6 C -0.399      
7 H 0.114      
8 H 0.114      
9 H 0.114      
10 H 0.114      
11 H 0.120      
12 H 0.120      
13 H 0.105      
14 H 0.105      
15 H 0.117      
16 H 0.117      
17 H 0.117      
18 H 0.117      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.000 0.000
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.311 -0.722 0.000
y -0.722 -40.973 0.000
z 0.000 0.000 -41.039
Traceless
 xyz
x 0.695 -0.722 0.000
y -0.722 -0.299 0.000
z 0.000 0.000 -0.397
Polar
3z2-r2-0.793
x2-y20.663
xy-0.722
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.765 0.999 0.000
y 0.999 11.356 0.000
z 0.000 0.000 10.098


<r2> (average value of r2) Å2
<r2> 196.452
(<r2>)1/2 14.016

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/TZVP
 hartrees
Energy at 0K-235.926691
Energy at 298.15K-235.940073
HF Energy-235.926691
Nuclear repulsion energy249.056962
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3LYP/TZVP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3091 2984 122.47      
2 A' 3080 2973 25.27      
3 A' 3076 2970 31.19      
4 A' 3049 2944 12.85      
5 A' 3037 2932 7.18      
6 A' 3033 2928 8.58      
7 A' 3017 2913 32.32      
8 A' 3016 2911 29.13      
9 A' 1506 1454 9.16      
10 A' 1501 1449 0.91      
11 A' 1497 1445 3.95      
12 A' 1417 1368 7.61      
13 A' 1414 1365 1.38      
14 A' 1384 1336 0.77      
15 A' 1366 1318 9.48      
16 A' 1279 1235 4.11      
17 A' 1253 1209 0.35      
18 A' 1200 1159 0.43      
19 A' 1123 1084 0.36      
20 A' 1044 1008 0.93      
21 A' 966 932 0.95      
22 A' 942 910 0.51      
23 A' 866 836 0.69      
24 A' 794 767 1.06      
25 A' 647 625 1.26      
26 A' 433 418 0.07      
27 A' 324 313 0.08      
28 A' 87 84 0.01      
29 A" 3084 2977 21.74      
30 A" 3079 2972 27.56      
31 A" 3076 2970 31.02      
32 A" 3035 2930 79.23      
33 A" 1501 1449 4.87      
34 A" 1499 1448 0.16      
35 A" 1479 1428 5.11      
36 A" 1294 1249 0.20      
37 A" 1279 1235 0.03      
38 A" 1230 1188 0.05      
39 A" 1146 1106 0.63      
40 A" 1130 1091 0.01      
41 A" 1002 968 3.25      
42 A" 900 869 0.00      
43 A" 895 864 0.17      
44 A" 812 784 0.04      
45 A" 380 367 0.00      
46 A" 261 252 0.07      
47 A" 254 245 0.00      
48 A" 236 228 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 36507.0 cm-1
Scaled (by 0.9654) Zero Point Vibrational Energy (zpe) 35243.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3LYP/TZVP
ABC
0.26213 0.07647 0.06947

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/TZVP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.243 0.076 1.084
C2 0.243 0.076 -1.084
C3 -0.655 0.734 0.000
C4 0.834 -0.870 0.000
C5 -0.815 2.246 0.000
C6 0.243 -2.276 0.000
H7 0.988 0.778 1.466
H8 -0.256 -0.394 1.935
H9 0.988 0.778 -1.466
H10 -0.256 -0.394 -1.935
H11 -1.643 0.266 0.000
H12 1.924 -0.940 0.000
H13 0.160 2.740 0.000
H14 -0.850 -2.249 0.000
H15 -1.363 2.587 -0.883
H16 -1.363 2.587 0.883
H17 0.561 -2.836 -0.884
H18 0.561 -2.836 0.884

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.16851.55371.55632.64582.59041.09271.09242.74833.09602.18372.24422.87722.78903.57062.98643.52912.9362
C22.16851.55371.55632.64582.59042.74833.09601.09271.09242.18372.24422.87722.78902.98643.57062.93623.5291
C31.55371.55372.18911.52043.14092.20272.27462.20272.27461.09303.07502.16602.98912.17122.17123.87293.8729
C41.55631.55632.18913.52571.52532.21182.27172.21182.27172.72601.09213.67302.17714.19024.19022.17222.1722
C52.64582.64581.52043.52574.64392.74833.31992.74833.31992.14574.20151.09364.49491.09361.09365.33805.3380
C62.59042.59043.14091.52534.64393.46932.74543.46932.74543.16562.14795.01711.09345.19665.19661.09331.0933
H71.09272.74832.20272.21182.74833.46931.77212.93263.80653.05542.44542.58533.83343.78343.02224.33213.6856
H81.09243.09602.27462.27173.31992.74541.77213.80653.86992.47062.96593.70642.74604.24823.34843.81802.7814
H92.74831.09272.20272.21182.74833.46932.93263.80651.77213.05542.44542.58533.83343.02223.78343.68564.3321
H103.09601.09242.27462.27173.31992.74543.80653.86991.77212.47062.96593.70642.74603.34844.24822.78143.8180
H112.18372.18371.09302.72602.14573.16563.05542.47063.05542.47063.76603.06162.63742.49872.49873.90653.9065
H122.24422.24423.07501.09214.20152.14792.44542.96592.44542.96593.76604.08113.06804.90104.90102.49692.4969
H132.87722.87722.16603.67301.09365.01712.58533.70642.58533.70643.06164.08115.09071.76701.76705.65975.6597
H142.78902.78902.98912.17714.49491.09343.83342.74603.83342.74602.63743.06805.09074.94244.94241.76531.7653
H153.57062.98642.17124.19021.09365.19663.78344.24823.02223.34842.49874.90101.76704.94241.76635.75336.0185
H162.98643.57062.17124.19021.09365.19663.02223.34843.78344.24822.49874.90101.76704.94241.76636.01855.7533
H173.52912.93623.87292.17225.33801.09334.33213.81803.68562.78143.90652.49695.65971.76535.75336.01851.7676
H182.93623.52913.87292.17225.33801.09333.68562.78144.33213.81803.90652.49695.65971.76536.01855.75331.7676

picture of (1r,3r)-1,3-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 88.508 C1 C3 C5 118.778
C1 C3 H11 109.973 C1 C4 C2 88.322
C1 C4 C6 114.405 C1 C4 H12 114.722
C2 C3 C5 118.778 C2 C3 H11 109.973
C2 C4 C6 114.405 C2 C4 H12 114.722
C3 C1 C4 89.481 C3 C1 H7 111.492
C3 C1 H8 117.485 C3 C2 C4 89.481
C3 C2 H9 111.492 C3 C2 H10 117.485
C3 C5 H13 110.857 C3 C5 H15 111.269
C3 C5 H16 111.269 C4 C1 H7 112.033
C4 C1 H8 117.033 C4 C2 H9 112.033
C4 C2 H10 117.033 C4 C6 H14 111.407
C4 C6 H17 111.029 C4 C6 H18 111.029
C5 C3 H11 109.285 C6 C4 H12 109.173
H7 C1 H8 108.385 H9 C2 H10 108.385
H13 C5 H15 107.781 H13 C5 H16 107.781
H14 C6 H17 107.664 H14 C6 H18 107.664
H15 C5 H16 107.721 H17 C6 H18 107.881
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/TZVP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.341      
2 C -0.341      
3 C -0.014      
4 C 0.039      
5 C -0.374      
6 C -0.401      
7 H 0.112      
8 H 0.128      
9 H 0.112      
10 H 0.128      
11 H 0.128      
12 H 0.141      
13 H 0.103      
14 H 0.111      
15 H 0.116      
16 H 0.116      
17 H 0.117      
18 H 0.117      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.015 -0.012 0.000 0.019
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.020 0.276 0.000
y 0.276 -41.274 0.000
z 0.000 0.000 -40.970
Traceless
 xyz
x 1.102 0.276 0.000
y 0.276 -0.778 0.000
z 0.000 0.000 -0.323
Polar
3z2-r2-0.646
x2-y21.253
xy0.276
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.594 -0.704 0.000
y -0.704 11.646 0.000
z 0.000 0.000 10.119


<r2> (average value of r2) Å2
<r2> 193.529
(<r2>)1/2 13.911