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

using model chemistry: PBEPBEultrafine/aug-cc-pVDZ

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

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBEultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-235.526473
Energy at 298.15K-235.539657
HF Energy-235.526473
Nuclear repulsion energy247.965369
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 PBEPBEultrafine/aug-cc-pVDZ
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' 3039 3020 112.01      
2 A' 3033 3014 25.62      
3 A' 3028 3009 20.35      
4 A' 2990 2972 20.15      
5 A' 2980 2961 10.97      
6 A' 2974 2956 6.59      
7 A' 2955 2937 33.41      
8 A' 2951 2933 34.70      
9 A' 1436 1427 4.64      
10 A' 1423 1415 3.40      
11 A' 1420 1412 6.19      
12 A' 1342 1334 6.47      
13 A' 1340 1332 5.02      
14 A' 1319 1311 0.06      
15 A' 1303 1295 10.04      
16 A' 1217 1210 3.68      
17 A' 1203 1195 0.46      
18 A' 1154 1147 0.15      
19 A' 1112 1105 0.32      
20 A' 1020 1013 0.87      
21 A' 923 917 1.03      
22 A' 913 907 0.45      
23 A' 843 837 0.85      
24 A' 784 779 0.90      
25 A' 628 625 1.68      
26 A' 423 420 0.06      
27 A' 319 317 0.10      
28 A' 95 95 0.01      
29 A" 3035 3017 35.55      
30 A" 3033 3014 14.34      
31 A" 3031 3012 19.68      
32 A" 2972 2954 86.35      
33 A" 1423 1414 1.93      
34 A" 1419 1410 1.69      
35 A" 1407 1398 6.52      
36 A" 1231 1223 0.24      
37 A" 1212 1204 0.00      
38 A" 1171 1164 0.04      
39 A" 1097 1091 0.29      
40 A" 1084 1078 0.01      
41 A" 955 949 2.77      
42 A" 885 880 0.00      
43 A" 874 869 0.01      
44 A" 778 774 0.13      
45 A" 363 361 0.00      
46 A" 253 252 0.07      
47 A" 240 238 0.00      
48 A" 221 219 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 35422.8 cm-1
Scaled (by 0.9939) Zero Point Vibrational Energy (zpe) 35206.7 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 PBEPBEultrafine/aug-cc-pVDZ
ABC
0.25721 0.07621 0.06947

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBEultrafine/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.252 0.083 1.087
C2 0.252 0.083 -1.087
C3 -0.661 0.725 0.000
C4 0.847 -0.867 0.000
C5 -0.848 2.239 0.000
C6 0.252 -2.277 0.000
H7 1.001 0.804 1.463
H8 -0.243 -0.394 1.954
H9 1.001 0.804 -1.463
H10 -0.243 -0.394 -1.954
H11 -1.653 0.234 0.000
H12 1.951 -0.936 0.000
H13 0.132 2.754 0.000
H14 -0.854 -2.246 0.000
H15 -1.407 2.574 -0.894
H16 -1.407 2.574 0.894
H17 0.574 -2.842 -0.895
H18 0.574 -2.842 0.895

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17381.55861.56122.65342.59771.10611.10622.75433.11752.19882.25932.88622.79823.58962.99953.54782.9490
C22.17381.55861.56122.65342.59772.75433.11751.10611.10622.19882.25932.88622.79822.99953.58962.94903.5478
C31.55861.55862.19341.52503.13782.21642.29022.21642.29021.10663.09582.17832.97772.18482.18483.88003.8800
C41.56121.56122.19343.53831.52972.22712.28682.22712.28682.73181.10593.69082.18994.20984.20982.18562.1856
C52.65342.65341.52503.53834.64752.76003.33362.76003.33362.16054.23241.10714.48501.10681.10685.35175.3517
C62.59772.59773.13781.52974.64753.49222.75843.49222.75843.15172.16355.03181.10695.20395.20391.10651.1065
H71.10612.75432.21642.22712.76003.49221.79532.92693.82903.08412.46452.58783.85883.80663.04244.36393.7155
H81.10623.11752.29022.28683.33362.75841.79533.82903.90792.49012.98723.72342.76124.27473.35923.84442.7902
H92.75431.10612.21642.22712.76003.49222.92693.82901.79533.08412.46452.58783.85883.04243.80663.71554.3639
H103.11751.10622.29022.28683.33362.75843.82903.90791.79532.49012.98723.72342.76123.35924.27472.79023.8444
H112.19882.19881.10662.73182.16053.15173.08412.49013.08412.49013.78903.08812.60572.51682.51683.90183.9018
H122.25932.25933.09581.10594.23242.16352.46452.98722.46452.98723.78904.11383.09564.93944.93942.51582.5158
H132.88622.88622.17833.69081.10715.03182.58783.72342.58783.72343.08814.11385.09631.78961.78965.68445.6844
H142.79822.79822.97772.18994.48501.10693.85882.76123.85882.76122.60573.09565.09634.93344.93341.78761.7876
H153.58962.99952.18484.20981.10685.20393.80664.27473.04243.35922.51684.93941.78964.93341.78845.76726.0383
H162.99953.58962.18484.20981.10685.20393.04243.35923.80664.27472.51684.93941.78964.93341.78846.03835.7672
H173.54782.94903.88002.18565.35171.10654.36393.84443.71552.79023.90182.51585.68441.78765.76726.03831.7898
H182.94903.54783.88002.18565.35171.10653.71552.79024.36393.84443.90182.51585.68441.78766.03835.76721.7898

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 88.433 C1 C3 C5 118.736
C1 C3 H11 110.021 C1 C4 C2 88.247
C1 C4 C6 114.366 C1 C4 H12 114.720
C2 C3 C5 118.736 C2 C3 H11 110.021
C2 C4 C6 114.366 C2 C4 H12 114.720
C3 C1 C4 89.348 C3 C1 H7 111.430
C3 C1 H8 117.496 C3 C2 C4 89.348
C3 C2 H9 111.430 C3 C2 H10 117.496
C3 C5 H13 110.702 C3 C5 H15 111.232
C3 C5 H16 111.232 C4 C1 H7 112.096
C4 C1 H8 117.012 C4 C2 H9 112.096
C4 C2 H10 117.012 C4 C6 H14 111.303
C4 C6 H17 110.983 C4 C6 H18 110.983
C5 C3 H11 109.336 C6 C4 H12 109.289
H7 C1 H8 108.488 H9 C2 H10 108.488
H13 C5 H15 107.870 H13 C5 H16 107.870
H14 C6 H17 107.732 H14 C6 H18 107.732
H15 C5 H16 107.785 H17 C6 H18 107.952
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBEultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.460      
2 C 1.460      
3 C 0.176      
4 C 0.250      
5 C 0.496      
6 C 0.543      
7 H -0.486      
8 H -0.535      
9 H -0.486      
10 H -0.535      
11 H -0.649      
12 H -0.699      
13 H -0.201      
14 H -0.183      
15 H -0.129      
16 H -0.129      
17 H -0.177      
18 H -0.177      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.021 -0.018 0.000 0.027
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.227 0.295 0.000
y 0.295 -41.552 0.000
z 0.000 0.000 -41.270
Traceless
 xyz
x 1.184 0.295 0.000
y 0.295 -0.803 0.000
z 0.000 0.000 -0.381
Polar
3z2-r2-0.762
x2-y21.325
xy0.295
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.483 -0.802 0.000
y -0.802 12.946 0.000
z 0.000 0.000 11.120


<r2> (average value of r2) Å2
<r2> 194.502
(<r2>)1/2 13.946