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

using model chemistry: LSDA/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 2 yes CS 1A'

Conformer 1 (C2H)

Jump to S1C2
Vibrational Frequencies calculated at LSDA/cc-pVTZ
Rotational Constants (cm-1) from geometry optimized at LSDA/cc-pVTZ
See section I.F.4 to change rotational constant units
Geometric Data calculated at LSDA/cc-pVTZ
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at LSDA/cc-pVTZ
 hartrees
Energy at 0K-234.614649
Energy at 298.15K-234.627889
HF Energy-234.614649
Nuclear repulsion energy252.194157
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 LSDA/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' 3033 3000 59.94      
2 A' 3029 2996 23.74      
3 A' 3025 2992 13.51      
4 A' 2989 2956 20.67      
5 A' 2973 2941 13.00      
6 A' 2965 2933 2.12      
7 A' 2954 2922 18.40      
8 A' 2950 2918 25.91      
9 A' 1423 1407 12.18      
10 A' 1413 1398 6.15      
11 A' 1409 1393 2.16      
12 A' 1344 1329 2.57      
13 A' 1339 1324 22.72      
14 A' 1319 1304 0.63      
15 A' 1304 1290 5.90      
16 A' 1223 1210 9.23      
17 A' 1208 1195 1.22      
18 A' 1164 1152 0.25      
19 A' 1135 1123 0.10      
20 A' 1028 1017 0.08      
21 A' 932 922 1.75      
22 A' 923 913 1.18      
23 A' 851 842 1.62      
24 A' 806 798 1.56      
25 A' 635 628 2.75      
26 A' 409 404 0.09      
27 A' 318 314 0.18      
28 A' 115 114 0.01      
29 A" 3037 3004 18.94      
30 A" 3035 3002 12.59      
31 A" 3027 2994 15.25      
32 A" 2966 2934 55.51      
33 A" 1416 1400 5.81      
34 A" 1414 1398 2.31      
35 A" 1383 1368 10.52      
36 A" 1233 1220 0.06      
37 A" 1217 1204 0.05      
38 A" 1172 1159 0.05      
39 A" 1102 1090 0.28      
40 A" 1084 1073 0.24      
41 A" 953 943 4.62      
42 A" 901 891 0.08      
43 A" 885 876 0.04      
44 A" 776 767 0.31      
45 A" 358 354 0.00      
46 A" 257 254 0.15      
47 A" 248 246 0.01      
48 A" 221 219 0.03      

Unscaled Zero Point Vibrational Energy (zpe) 35449.9 cm-1
Scaled (by 0.9891) Zero Point Vibrational Energy (zpe) 35063.5 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 LSDA/cc-pVTZ
ABC
0.25823 0.07985 0.07339

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

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.257 0.087 1.070
C2 0.257 0.087 -1.070
C3 -0.659 0.694 0.000
C4 0.852 -0.841 0.000
C5 -0.865 2.179 0.000
C6 0.257 -2.221 0.000
H7 0.989 0.823 1.435
H8 -0.222 -0.395 1.934
H9 0.989 0.823 -1.435
H10 -0.222 -0.395 -1.934
H11 -1.633 0.182 0.000
H12 1.949 -0.907 0.000
H13 0.105 2.699 0.000
H14 -0.843 -2.172 0.000
H15 -1.424 2.504 -0.889
H16 -1.424 2.504 0.889
H17 0.570 -2.785 -0.890
H18 0.570 -2.785 0.890

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.13981.53391.53652.60382.54431.09991.09922.71143.07962.17402.23502.82702.73113.53632.94953.49172.8949
C22.13981.53391.53652.60382.54432.71143.07961.09991.09922.17402.23502.82702.73112.94953.53632.89493.4917
C31.53391.53392.15461.49893.05622.18892.26202.18892.26201.10043.06042.14572.87252.15652.15653.79613.7961
C41.53651.53652.15463.47431.50282.20182.25682.20182.25682.68771.09883.61872.15494.14274.14272.15682.1568
C52.60382.60381.49893.47434.54112.70823.28292.70823.28292.13964.17621.10044.35141.09961.09965.24365.2436
C62.54432.54433.05621.50284.54113.44412.70283.44412.70283.05772.14264.92311.10075.09365.09361.09941.0994
H71.09992.71142.18892.20182.70823.44411.78822.87033.78143.05672.44422.52233.79263.74832.99084.31313.6730
H81.09923.07962.26202.25683.28292.70281.78823.78143.86752.46232.95233.66342.69884.22093.30723.78392.7257
H92.71141.09992.18892.20182.70823.44412.87033.78141.78823.05672.44422.52233.79262.99083.74833.67304.3131
H103.07961.09922.26202.25683.28292.70283.78143.86751.78822.46232.95233.66342.69883.30724.22092.72573.7839
H112.17402.17401.10042.68772.13963.05773.05672.46233.05672.46233.74393.05882.48362.49492.49493.80133.8013
H122.23502.23503.06041.09884.17622.14262.44422.95232.44422.95233.74394.05043.06504.87874.87872.49492.4949
H132.82702.82702.14573.61871.10044.92312.52233.66342.52233.66343.05884.05044.96291.77951.77955.57595.5759
H142.73112.73112.87252.15494.35141.10073.79262.69883.79262.69882.48363.06504.96294.79534.79531.77841.7784
H153.53632.94952.15654.14271.09965.09363.74834.22092.99083.30722.49494.87871.77954.79531.77855.65245.9260
H162.94953.53632.15654.14271.09965.09362.99083.30723.74834.22092.49494.87871.77954.79531.77855.92605.6524
H173.49172.89493.79612.15685.24361.09944.31313.78393.67302.72573.80132.49495.57591.77845.65245.92601.7810
H182.89493.49173.79612.15685.24361.09943.67302.72574.31313.78393.80132.49495.57591.77845.92605.65241.7810

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 88.457 C1 C3 C5 118.299
C1 C3 H11 110.146 C1 C4 C2 88.266
C1 C4 C6 113.673 C1 C4 H12 115.001
C2 C3 C5 118.299 C2 C3 H11 110.146
C2 C4 C6 113.673 C2 C4 H12 115.001
C3 C1 C4 89.130 C3 C1 H7 111.351
C3 C1 H8 117.469 C3 C2 C4 89.130
C3 C2 H9 111.351 C3 C2 H10 117.469
C3 C5 H13 110.330 C3 C5 H15 111.247
C3 C5 H16 111.247 C4 C1 H7 112.199
C4 C1 H8 116.819 C4 C2 H9 112.199
C4 C2 H10 116.819 C4 C6 H14 110.772
C4 C6 H17 111.010 C4 C6 H18 111.010
C5 C3 H11 109.850 C6 C4 H12 109.909
H7 C1 H8 108.805 H9 C2 H10 108.805
H13 C5 H15 107.970 H13 C5 H16 107.970
H14 C6 H17 107.865 H14 C6 H18 107.865
H15 C5 H16 107.944 H17 C6 H18 108.188
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at LSDA/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.214      
2 C -0.214      
3 C -0.088      
4 C -0.076      
5 C -0.353      
6 C -0.366      
7 H 0.100      
8 H 0.103      
9 H 0.100      
10 H 0.103      
11 H 0.116      
12 H 0.111      
13 H 0.102      
14 H 0.112      
15 H 0.116      
16 H 0.116      
17 H 0.116      
18 H 0.116      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.039 -0.005 0.000 0.039
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.036 0.278 0.000
y 0.278 -40.908 0.000
z 0.000 0.000 -40.839
Traceless
 xyz
x 0.838 0.278 0.000
y 0.278 -0.470 0.000
z 0.000 0.000 -0.368
Polar
3z2-r2-0.735
x2-y20.872
xy0.278
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.039 -0.771 0.000
y -0.771 12.079 0.000
z 0.000 0.000 10.401


<r2> (average value of r2) Å2
<r2> 187.043
(<r2>)1/2 13.676