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

using model chemistry: HF/Def2TZVPP

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 HF/Def2TZVPP
 hartrees
Energy at 0K-234.254822
Energy at 298.15K 
HF Energy-234.254822
Nuclear repulsion energy249.485092
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 HF/Def2TZVPP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 Ag 3205 2905 0.00      
2 Ag 3186 2888 0.00      
3 Ag 3168 2871 0.00      
4 Ag 3143 2849 0.00      
5 Ag 1620 1468 0.00      
6 Ag 1611 1460 0.00      
7 Ag 1535 1391 0.00      
8 Ag 1489 1350 0.00      
9 Ag 1353 1226 0.00      
10 Ag 1184 1073 0.00      
11 Ag 1030 934 0.00      
12 Ag 942 854 0.00      
13 Ag 713 646 0.00      
14 Ag 332 301 0.00      
15 Au 3201 2901 107.04      
16 Au 3172 2875 96.20      
17 Au 1615 1463 1.41      
18 Au 1597 1448 6.36      
19 Au 1413 1281 1.10      
20 Au 1257 1139 0.36      
21 Au 1083 981 2.14      
22 Au 959 870 0.54      
23 Au 281 255 0.01      
24 Au 257 233 0.02      
25 Bg 3214 2913 0.00      
26 Bg 3200 2901 0.00      
27 Bg 1611 1460 0.00      
28 Bg 1395 1265 0.00      
29 Bg 1359 1232 0.00      
30 Bg 1225 1110 0.00      
31 Bg 984 892 0.00      
32 Bg 867 786 0.00      
33 Bg 410 372 0.00      
34 Bg 282 256 0.00      
35 Bu 3226 2924 177.17      
36 Bu 3199 2899 90.56      
37 Bu 3168 2872 12.39      
38 Bu 3143 2849 72.87      
39 Bu 1612 1461 10.72      
40 Bu 1535 1392 5.92      
41 Bu 1484 1345 8.61      
42 Bu 1404 1272 1.22      
43 Bu 1294 1173 0.39      
44 Bu 1115 1010 0.74      
45 Bu 973 882 0.97      
46 Bu 832 754 1.18      
47 Bu 459 416 0.05      
48 Bu 73i 66i 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 38630.1 cm-1
Scaled (by 0.9064) Zero Point Vibrational Energy (zpe) 35014.4 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 HF/Def2TZVPP
ABC
0.27833 0.07590 0.06772

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/Def2TZVPP

Point Group is C2h

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.091
C2 0.000 0.000 -1.091
C3 0.000 1.102 0.000
C4 0.000 -1.102 0.000
C5 1.192 2.042 0.000
C6 -1.192 -2.042 0.000
H7 0.878 0.013 1.724
H8 -0.878 -0.013 1.724
H9 0.878 0.013 -1.724
H10 -0.878 -0.013 -1.724
H11 -0.914 1.684 0.000
H12 0.914 -1.684 0.000
H13 2.124 1.488 0.000
H14 -2.124 -1.488 0.000
H15 1.195 2.683 -0.875
H16 1.195 2.683 0.875
H17 -1.195 -2.683 -0.875
H18 -1.195 -2.683 0.875

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.18121.55061.55062.60352.60351.08261.08262.94862.94862.20462.20462.81322.81323.53432.94493.53432.9449
C22.18121.55061.55062.60352.60352.94862.94861.08261.08262.20462.20462.81322.81322.94493.53432.94493.5343
C31.55061.55062.20451.51753.36232.22022.23342.22022.23341.08352.93222.15883.34952.16632.16634.06484.0648
C41.55061.55062.20453.36231.51752.23342.22022.23342.22022.93221.08353.34952.15884.06484.06482.16632.1663
C52.60352.60351.51753.36234.72822.68093.38802.68093.38802.13613.73591.08474.84261.08521.08525.36525.3652
C62.60352.60353.36231.51754.72823.38802.68093.38802.68093.73592.13614.84261.08475.36525.36521.08521.0852
H71.08262.94862.22022.23342.68093.38801.75523.44883.86982.99572.41982.58863.77313.74002.81954.28063.5050
H81.08262.94862.23342.22023.38802.68091.75523.86983.44882.41982.99573.77312.58864.28063.50503.74002.8195
H92.94861.08262.22022.23342.68093.38803.44883.86981.75522.99572.41982.58863.77312.81953.74003.50504.2806
H102.94861.08262.23342.22023.38802.68093.86983.44881.75522.41982.99573.77312.58863.50504.28062.81953.7400
H112.20462.20461.08352.93222.13613.73592.99572.41982.99572.41983.83203.04473.39432.49242.49244.46264.4626
H122.20462.20462.93221.08353.73592.13612.41982.99572.41982.99573.83203.39433.04474.46264.46262.49242.4924
H132.81322.81322.15883.34951.08474.84262.58863.77312.58863.77313.04473.39435.18641.74921.74925.40145.4014
H142.81322.81323.34952.15884.84261.08473.77312.58863.77312.58863.39433.04475.18645.40145.40141.74921.7492
H153.53432.94492.16634.06481.08525.36523.74004.28062.81953.50502.49244.46261.74925.40141.75085.87416.1295
H162.94493.53432.16634.06481.08525.36522.81953.50503.74004.28062.49244.46261.74925.40141.75086.12955.8741
H173.53432.94494.06482.16635.36521.08524.28063.74003.50502.81954.46262.49245.40141.74925.87416.12951.7508
H182.94493.53434.06482.16635.36521.08523.50502.81954.28063.74004.46262.49245.40141.74926.12955.87411.7508

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 89.392 C1 C3 C5 116.110
C1 C3 H11 112.431 C1 C4 C2 89.392
C1 C4 C6 116.110 C1 C4 H12 112.431
C2 C3 C5 116.110 C2 C3 H11 112.431
C2 C4 C6 116.110 C2 C4 H12 112.431
C3 C1 C4 90.608 C3 C1 H7 113.770
C3 C1 H8 114.868 C3 C2 C4 90.608
C3 C2 H9 113.770 C3 C2 H10 114.868
C3 C5 H13 111.021 C3 C5 H15 111.593
C3 C5 H16 111.593 C4 C1 H7 114.868
C4 C1 H8 113.770 C4 C2 H9 114.868
C4 C2 H10 113.770 C4 C6 H14 111.021
C4 C6 H17 111.593 C4 C6 H18 111.593
C5 C3 H11 109.284 C6 C4 H12 109.284
H7 C1 H8 108.325 H9 C2 H10 108.325
H13 C5 H15 107.438 H13 C5 H16 107.438
H14 C6 H17 107.438 H14 C6 H18 107.438
H15 C5 H16 107.543 H17 C6 H18 107.543
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.221      
2 C -0.221      
3 C 0.143      
4 C 0.143      
5 C -0.229      
6 C -0.229      
7 H 0.057      
8 H 0.057      
9 H 0.057      
10 H 0.057      
11 H 0.033      
12 H 0.033      
13 H 0.044      
14 H 0.044      
15 H 0.058      
16 H 0.058      
17 H 0.058      
18 H 0.058      


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 -40.136 -0.808 0.000
y -0.808 -40.893 0.000
z 0.000 0.000 -40.769
Traceless
 xyz
x 0.695 -0.808 0.000
y -0.808 -0.440 0.000
z 0.000 0.000 -0.255
Polar
3z2-r2-0.510
x2-y20.757
xy-0.808
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.299 0.934 0.000
y 0.934 10.792 0.000
z 0.000 0.000 9.627


<r2> (average value of r2) Å2
<r2> 194.627
(<r2>)1/2 13.951

Conformer 2 (CS)

Jump to S1C1
Energy calculated at HF/Def2TZVPP
 hartrees
Energy at 0K-234.256009
Energy at 298.15K-234.269787
HF Energy-234.256009
Nuclear repulsion energy250.417470
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 HF/Def2TZVPP
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
(Å4/u)
Dep P Dep U
1 A' 3223 2922 179.83      
2 A' 3208 2908 40.47      
3 A' 3201 2902 38.03      
4 A' 3186 2888 7.89      
5 A' 3168 2872 7.14      
6 A' 3166 2870 11.26      
7 A' 3148 2853 40.78      
8 A' 3145 2850 32.49      
9 A' 1626 1474 3.15      
10 A' 1613 1462 3.51      
11 A' 1610 1459 5.24      
12 A' 1537 1394 6.67      
13 A' 1536 1392 0.84      
14 A' 1500 1359 2.10      
15 A' 1487 1348 7.58      
16 A' 1402 1271 1.33      
17 A' 1352 1225 0.49      
18 A' 1296 1175 0.31      
19 A' 1197 1085 0.44      
20 A' 1115 1011 0.56      
21 A' 1033 936 0.58      
22 A' 1016 921 0.35      
23 A' 923 836 0.52      
24 A' 846 767 0.82      
25 A' 692 627 1.03      
26 A' 462 419 0.03      
27 A' 347 314 0.06      
28 A' 103 93 0.01      
29 A" 3211 2911 29.34      
30 A" 3203 2904 40.36      
31 A" 3200 2900 45.98      
32 A" 3168 2871 94.04      
33 A" 1614 1463 2.18      
34 A" 1611 1460 0.34      
35 A" 1598 1448 4.70      
36 A" 1415 1283 0.52      
37 A" 1391 1261 0.01      
38 A" 1351 1224 0.09      
39 A" 1239 1123 0.44      
40 A" 1223 1109 0.00      
41 A" 1074 973 2.00      
42 A" 968 877 0.06      
43 A" 964 874 0.45      
44 A" 870 788 0.02      
45 A" 401 364 0.00      
46 A" 278 252 0.03      
47 A" 266 241 0.00      
48 A" 249 226 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 38715.1 cm-1
Scaled (by 0.9064) Zero Point Vibrational Energy (zpe) 35091.4 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 HF/Def2TZVPP
ABC
0.26397 0.07719 0.07028

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/Def2TZVPP

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.248 0.078 1.076
C2 0.248 0.078 -1.076
C3 -0.653 0.723 0.000
C4 0.841 -0.862 0.000
C5 -0.839 2.229 0.000
C6 0.248 -2.262 0.000
H7 0.985 0.784 1.438
H8 -0.232 -0.382 1.932
H9 0.985 0.784 -1.438
H10 -0.232 -0.382 -1.932
H11 -1.623 0.242 0.000
H12 1.922 -0.937 0.000
H13 0.118 2.738 0.000
H14 -0.836 -2.239 0.000
H15 -1.388 2.558 -0.876
H16 -1.388 2.558 0.876
H17 0.564 -2.817 -0.876
H18 0.564 -2.817 0.876

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.15231.54481.54702.63912.57591.08301.08342.71343.08042.16482.23362.87222.77503.55472.97773.50652.9196
C22.15231.54481.54702.63912.57592.71343.08041.08301.08342.16482.23362.87222.77502.97773.55472.91963.5065
C31.54481.54482.17841.51663.11862.18082.26502.18082.26501.08283.06352.15712.96782.16162.16163.84523.8452
C41.54701.54702.17843.51771.52092.19022.26132.19022.26132.70041.08303.67162.16994.17504.17502.16092.1609
C52.63912.63911.51663.51774.62052.73573.30362.73573.30362.13524.20031.08464.46731.08481.08485.31025.3102
C62.57592.57593.11861.52094.62053.44832.73833.44832.73833.12632.13495.00181.08415.16495.16491.08421.0842
H71.08302.71342.18082.19022.73573.44831.75622.87593.76773.02742.43022.57633.81073.75953.01624.30153.6693
H81.08343.08042.26502.26133.30362.73831.75623.76773.86342.46102.94573.68602.74684.22613.33063.80132.7713
H92.71341.08302.18082.19022.73573.44832.87593.76771.75623.02742.43022.57633.81073.01623.75953.66934.3015
H103.08041.08342.26502.26133.30362.73833.76773.86341.75622.46102.94573.68602.74683.33064.22612.77133.8013
H112.16482.16481.08282.70042.13523.12633.02742.46103.02742.46103.73573.04302.60312.48652.48653.86173.8617
H122.23362.23363.06351.08304.20032.13492.43022.94572.43022.94573.73574.09353.04934.89244.89242.47952.4795
H132.87222.87222.15713.67161.08465.00182.57633.68602.57633.68603.04304.09355.06731.75191.75195.64175.6417
H142.77502.77502.96782.16994.46731.08413.81072.74683.81072.74682.60313.04935.06734.90704.90701.74961.7496
H153.55472.97772.16164.17501.08485.16493.75954.22613.01623.33062.48654.89241.75194.90701.75145.71875.9810
H162.97773.55472.16164.17501.08485.16493.01623.33063.75954.22612.48654.89241.75194.90701.75145.98105.7187
H173.50652.91963.84522.16095.31021.08424.30153.80133.66932.77133.86172.47955.64171.74965.71875.98101.7522
H182.91963.50653.84522.16095.31021.08423.66932.77134.30153.80133.86172.47955.64171.74965.98105.71871.7522

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 88.316 C1 C3 C5 119.091
C1 C3 H11 109.695 C1 C4 C2 88.153
C1 C4 C6 114.196 C1 C4 H12 115.128
C2 C3 C5 119.091 C2 C3 H11 109.695
C2 C4 C6 114.196 C2 C4 H12 115.128
C3 C1 C4 89.589 C3 C1 H7 110.952
C3 C1 H8 117.976 C3 C2 C4 89.589
C3 C2 H9 110.952 C3 C2 H10 117.976
C3 C5 H13 110.957 C3 C5 H15 111.306
C3 C5 H16 111.306 C4 C1 H7 111.550
C4 C1 H8 117.473 C4 C2 H9 111.550
C4 C2 H10 117.473 C4 C6 H14 111.717
C4 C6 H17 110.975 C4 C6 H18 110.975
C5 C3 H11 109.317 C6 C4 H12 108.981
H7 C1 H8 108.324 H9 C2 H10 108.324
H13 C5 H15 107.721 H13 C5 H16 107.721
H14 C6 H17 107.591 H14 C6 H18 107.591
H15 C5 H16 107.656 H17 C6 H18 107.812
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/Def2TZVPP Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.207      
2 C -0.207      
3 C 0.150      
4 C 0.162      
5 C -0.230      
6 C -0.237      
7 H 0.049      
8 H 0.044      
9 H 0.049      
10 H 0.044      
11 H 0.032      
12 H 0.029      
13 H 0.040      
14 H 0.050      
15 H 0.058      
16 H 0.058      
17 H 0.058      
18 H 0.058      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.002 -0.020 0.000 0.020
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.795 0.350 0.000
y 0.350 -41.256 0.000
z 0.000 0.000 -40.727
Traceless
 xyz
x 1.196 0.350 0.000
y 0.350 -0.994 0.000
z 0.000 0.000 -0.202
Polar
3z2-r2-0.404
x2-y21.460
xy0.350
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.150 -0.663 0.000
y -0.663 10.981 0.000
z 0.000 0.000 9.610


<r2> (average value of r2) Å2
<r2> 191.681
(<r2>)1/2 13.845