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

using model chemistry: B97D3/cc-pVTZ

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 B97D3/cc-pVTZ
 hartrees
Energy at 0K-235.772688
Energy at 298.15K 
HF Energy-235.772688
Nuclear repulsion energy248.127359
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 B97D3/cc-pVTZ
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 3029 2987 0.00      
2 Ag 2999 2957 0.00      
3 Ag 2989 2947 0.00      
4 Ag 2962 2921 0.00      
5 Ag 1467 1447 0.00      
6 Ag 1463 1442 0.00      
7 Ag 1379 1360 0.00      
8 Ag 1343 1324 0.00      
9 Ag 1229 1211 0.00      
10 Ag 1088 1073 0.00      
11 Ag 942 928 0.00      
12 Ag 863 851 0.00      
13 Ag 648 639 0.00      
14 Ag 310 306 0.00      
15 Au 3030 2988 80.18      
16 Au 2989 2947 94.76      
17 Au 1469 1449 2.94      
18 Au 1443 1423 4.32      
19 Au 1257 1240 0.91      
20 Au 1137 1122 0.23      
21 Au 988 974 2.87      
22 Au 870 858 0.07      
23 Au 257 253 0.04      
24 Au 224 221 0.04      
25 Bg 3040 2997 0.00      
26 Bg 3030 2987 0.00      
27 Bg 1467 1446 0.00      
28 Bg 1251 1234 0.00      
29 Bg 1209 1192 0.00      
30 Bg 1105 1090 0.00      
31 Bg 898 886 0.00      
32 Bg 790 779 0.00      
33 Bg 381 376 0.00      
34 Bg 247 243 0.00      
35 Bu 3047 3004 131.93      
36 Bu 3027 2984 75.33      
37 Bu 2987 2945 20.68      
38 Bu 2962 2920 76.42      
39 Bu 1467 1447 10.91      
40 Bu 1382 1363 5.07      
41 Bu 1324 1305 11.40      
42 Bu 1251 1233 1.27      
43 Bu 1172 1156 0.39      
44 Bu 1020 1006 1.84      
45 Bu 886 874 1.69      
46 Bu 769 758 1.41      
47 Bu 423 418 0.10      
48 Bu 88i 87i 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 35709.9 cm-1
Scaled (by 0.986) Zero Point Vibrational Energy (zpe) 35210.0 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 B97D3/cc-pVTZ
ABC
0.27422 0.07540 0.06726

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/cc-pVTZ

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 1.195 2.048 0.000
C6 -1.195 -2.048 0.000
H7 0.886 0.008 1.740
H8 -0.886 -0.008 1.740
H9 0.886 0.008 -1.740
H10 -0.886 -0.008 -1.740
H11 -0.925 1.692 0.000
H12 0.925 -1.692 0.000
H13 2.135 1.483 0.000
H14 -2.135 -1.483 0.000
H15 1.193 2.693 -0.887
H16 1.193 2.693 0.887
H17 -1.193 -2.693 -0.887
H18 -1.193 -2.693 0.887

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.19491.55821.55822.61272.61271.09471.09472.97242.97242.21882.21882.82192.82193.55162.95333.55162.9533
C22.19491.55821.55822.61272.61272.97242.97241.09471.09472.21882.21882.82192.82192.95333.55162.95333.5516
C31.55821.55822.21251.52133.37302.24002.24822.24002.24821.09502.94722.16813.35622.17452.17454.08004.0800
C41.55821.55822.21253.37301.52132.24822.24002.24822.24002.94721.09503.35622.16814.08004.08002.17452.1745
C52.61272.61271.52133.37304.74212.69853.40382.69853.40382.14963.74971.09704.85361.09651.09655.38225.3822
C62.61272.61273.37301.52134.74213.40382.69853.40382.69853.74972.14964.85361.09705.38225.38221.09651.0965
H71.09472.97242.24002.24822.69853.40381.77293.47943.90503.02382.43292.60023.79223.76832.83394.30363.5144
H81.09472.97242.24822.24003.40382.69851.77293.90503.47942.43293.02383.79222.60024.30363.51443.76832.8339
H92.97241.09472.24002.24822.69853.40383.47943.90501.77293.02382.43292.60023.79222.83393.76833.51444.3036
H102.97241.09472.24822.24003.40382.69853.90503.47941.77292.43293.02383.79222.60023.51444.30362.83393.7683
H112.21882.21881.09502.94722.14963.74973.02382.43293.02382.43293.85693.06743.39792.50532.50534.48204.4820
H122.21882.21882.94721.09503.74972.14962.43293.02382.43293.02383.85693.39793.06744.48204.48202.50532.5053
H132.82192.82192.16813.35621.09704.85362.60023.79222.60023.79223.06743.39795.19941.77121.77125.41365.4136
H142.82192.82193.35622.16814.85361.09703.79222.60023.79222.60023.39793.06745.19945.41365.41361.77121.7712
H153.55162.95332.17454.08001.09655.38223.76834.30362.83393.51442.50534.48201.77125.41361.77315.89156.1525
H162.95333.55162.17454.08001.09655.38222.83393.51443.76834.30362.50534.48201.77125.41361.77316.15255.8915
H173.55162.95334.08002.17455.38221.09654.30363.76833.51442.83394.48202.50535.41361.77125.89156.15251.7731
H182.95333.55164.08002.17455.38221.09653.51442.83394.30363.76834.48202.50535.41361.77126.15255.89151.7731

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 89.541 C1 C3 C5 116.071
C1 C3 H11 112.319 C1 C4 C2 89.541
C1 C4 C6 116.071 C1 C4 H12 112.319
C2 C3 C5 116.071 C2 C3 H11 112.319
C2 C4 C6 116.071 C2 C4 H12 112.319
C3 C1 C4 90.459 C3 C1 H7 114.068
C3 C1 H8 114.745 C3 C2 C4 90.459
C3 C2 H9 114.068 C3 C2 H10 114.745
C3 C5 H13 110.761 C3 C5 H15 111.300
C3 C5 H16 111.300 C4 C1 H7 114.745
C4 C1 H8 114.068 C4 C2 H9 114.745
C4 C2 H10 114.068 C4 C6 H14 110.761
C4 C6 H17 111.300 C4 C6 H18 111.300
C5 C3 H11 109.414 C6 C4 H12 109.414
H7 C1 H8 108.152 H9 C2 H10 108.152
H13 C5 H15 107.705 H13 C5 H16 107.705
H14 C6 H17 107.705 H14 C6 H18 107.705
H15 C5 H16 107.907 H17 C6 H18 107.907
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.127      
2 C -0.127      
3 C 0.012      
4 C 0.012      
5 C -0.266      
6 C -0.266      
7 H 0.050      
8 H 0.050      
9 H 0.050      
10 H 0.050      
11 H 0.054      
12 H 0.054      
13 H 0.074      
14 H 0.074      
15 H 0.076      
16 H 0.076      
17 H 0.076      
18 H 0.076      


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 -40.078 -0.720 0.000
y -0.720 -40.774 0.000
z 0.000 0.000 -40.764
Traceless
 xyz
x 0.691 -0.720 0.000
y -0.720 -0.353 0.000
z 0.000 0.000 -0.338
Polar
3z2-r2-0.676
x2-y20.696
xy-0.720
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.089 1.170 0.000
y 1.170 11.733 0.000
z 0.000 0.000 10.332


<r2> (average value of r2) Å2
<r2> 195.977
(<r2>)1/2 13.999

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B97D3/cc-pVTZ
 hartrees
Energy at 0K-235.773896
Energy at 298.15K-235.787164
HF Energy-235.773896
Nuclear repulsion energy249.096353
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 B97D3/cc-pVTZ
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' 3044 3001 134.95      
2 A' 3032 2989 33.02      
3 A' 3029 2986 32.07      
4 A' 2999 2957 16.63      
5 A' 2988 2946 9.23      
6 A' 2983 2941 10.67      
7 A' 2965 2924 36.07      
8 A' 2963 2922 38.98      
9 A' 1474 1453 8.68      
10 A' 1469 1449 2.05      
11 A' 1463 1442 1.17      
12 A' 1384 1364 5.40      
13 A' 1380 1361 0.84      
14 A' 1355 1336 1.06      
15 A' 1333 1314 10.84      
16 A' 1247 1230 2.83      
17 A' 1227 1209 0.28      
18 A' 1176 1160 0.33      
19 A' 1104 1088 0.52      
20 A' 1025 1010 1.31      
21 A' 948 934 0.91      
22 A' 925 912 0.64      
23 A' 848 836 0.60      
24 A' 784 773 0.76      
25 A' 634 625 1.46      
26 A' 424 418 0.07      
27 A' 323 319 0.10      
28 A' 86 84 0.01      
29 A" 3037 2994 26.37      
30 A" 3033 2990 27.53      
31 A" 3030 2987 35.25      
32 A" 2984 2942 93.35      
33 A" 1470 1449 3.26      
34 A" 1468 1447 0.67      
35 A" 1443 1423 2.67      
36 A" 1261 1243 0.42      
37 A" 1246 1228 0.01      
38 A" 1198 1181 0.05      
39 A" 1120 1104 0.30      
40 A" 1105 1090 0.00      
41 A" 978 964 2.65      
42 A" 885 872 0.00      
43 A" 879 867 0.10      
44 A" 794 782 0.13      
45 A" 374 368 0.00      
46 A" 255 252 0.07      
47 A" 247 244 0.01      
48 A" 230 227 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 35820.7 cm-1
Scaled (by 0.986) Zero Point Vibrational Energy (zpe) 35319.2 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 B97D3/cc-pVTZ
ABC
0.25983 0.07678 0.06990

See section I.F.4 to change rotational constant units
Geometric Data calculated at B97D3/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.251 0.082 1.084
C2 0.251 0.082 -1.084
C3 -0.662 0.720 0.000
C4 0.848 -0.863 0.000
C5 -0.845 2.228 0.000
C6 0.251 -2.265 0.000
H7 0.990 0.800 1.457
H8 -0.238 -0.393 1.940
H9 0.990 0.800 -1.457
H10 -0.238 -0.393 -1.940
H11 -1.642 0.230 0.000
H12 1.941 -0.929 0.000
H13 0.128 2.736 0.000
H14 -0.844 -2.229 0.000
H15 -1.397 2.563 -0.886
H16 -1.397 2.563 0.886
H17 0.565 -2.828 -0.887
H18 0.565 -2.828 0.887

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.16791.55431.55692.64232.58561.09541.09492.74203.10032.18652.24792.86932.77753.57142.98553.52872.9338
C22.16791.55431.55692.64232.58562.74203.10031.09541.09492.18652.24792.86932.77752.98553.57142.93383.5287
C31.55431.55432.18771.51893.12222.20422.27692.20422.27691.09593.08152.16452.95452.17322.17323.85793.8579
C41.55691.55692.18773.52421.52432.21522.27282.21522.27282.71941.09493.67012.17504.19114.19112.17472.1747
C52.64232.64231.51893.52424.62532.74443.31722.74443.31722.15124.21061.09684.45671.09661.09665.32365.3236
C62.58562.58563.12221.52434.62533.47322.74053.47322.74053.13232.15435.00271.09655.17875.17871.09621.0962
H71.09542.74202.20422.21522.74443.47321.77882.91463.80463.06192.45282.57243.82863.78173.02274.34003.6968
H81.09493.10032.27692.27283.31722.74051.77883.80463.88072.47462.96673.69982.73894.25123.34603.81682.7721
H92.74201.09542.20422.21522.74443.47322.91463.80461.77883.06192.45282.57243.82863.02273.78173.69684.3400
H103.10031.09492.27692.27283.31722.74053.80463.88071.77882.47462.96673.69982.73893.34604.25122.77213.8168
H112.18652.18651.09592.71942.15123.13233.06192.47463.06192.47463.76583.06742.58472.50782.50783.87433.8743
H122.24792.24793.08151.09494.21062.15432.45282.96672.45282.96673.76584.08913.07384.91194.91192.50742.5074
H132.86932.86932.16453.67011.09685.00272.57243.69982.57243.69983.06744.08915.05861.77171.77175.65125.6512
H142.77752.77752.95452.17504.45671.09653.82862.73893.82862.73892.58473.07385.05864.90444.90441.77001.7700
H153.57142.98552.17324.19111.09665.17873.78174.25123.02273.34602.50784.91191.77174.90441.77205.73756.0052
H162.98553.57142.17324.19111.09665.17873.02273.34603.78174.25122.50784.91191.77174.90441.77206.00525.7375
H173.52872.93383.85792.17475.32361.09624.34003.81683.69682.77213.87432.50745.65121.77005.73756.00521.7737
H182.93383.52873.85792.17475.32361.09623.69682.77214.34003.81683.87432.50745.65121.77006.00525.73751.7737

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 88.436 C1 C3 C5 118.584
C1 C3 H11 109.978 C1 C4 C2 88.247
C1 C4 C6 114.097 C1 C4 H12 114.798
C2 C3 C5 118.584 C2 C3 H11 109.978
C2 C4 C6 114.097 C2 C4 H12 114.798
C3 C1 C4 89.363 C3 C1 H7 111.402
C3 C1 H8 117.460 C3 C2 C4 89.363
C3 C2 H9 111.402 C3 C2 H10 117.460
C3 C5 H13 110.651 C3 C5 H15 111.359
C3 C5 H16 111.359 C4 C1 H7 112.096
C4 C1 H8 116.909 C4 C2 H9 112.096
C4 C2 H10 116.909 C4 C6 H14 111.129
C4 C6 H17 111.122 C4 C6 H18 111.122
C5 C3 H11 109.649 C6 C4 H12 109.583
H7 C1 H8 108.611 H9 C2 H10 108.611
H13 C5 H15 107.756 H13 C5 H16 107.756
H14 C6 H17 107.653 H14 C6 H18 107.653
H15 C5 H16 107.796 H17 C6 H18 107.999
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B97D3/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.130      
2 C -0.130      
3 C 0.011      
4 C 0.001      
5 C -0.266      
6 C -0.268      
7 H 0.050      
8 H 0.054      
9 H 0.050      
10 H 0.054      
11 H 0.055      
12 H 0.059      
13 H 0.074      
14 H 0.075      
15 H 0.078      
16 H 0.078      
17 H 0.078      
18 H 0.078      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.017 -0.012 0.000 0.021
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.800 0.320 0.000
y 0.320 -41.081 0.000
z 0.000 0.000 -40.727
Traceless
 xyz
x 1.104 0.320 0.000
y 0.320 -0.818 0.000
z 0.000 0.000 -0.286
Polar
3z2-r2-0.572
x2-y21.281
xy0.320
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.819 -0.745 0.000
y -0.745 12.084 0.000
z 0.000 0.000 10.320


<r2> (average value of r2) Å2
<r2> 192.844
(<r2>)1/2 13.887