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

using model chemistry: B3LYPultrafine/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 B3LYPultrafine/aug-cc-pVDZ
Rotational Constants (cm-1) from geometry optimized at B3LYPultrafine/aug-cc-pVDZ
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVDZ
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYPultrafine/aug-cc-pVDZ
 hartrees
Energy at 0K-235.867099
Energy at 298.15K-235.880446
HF Energy-235.867099
Nuclear repulsion energy248.396784
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 B3LYPultrafine/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' 3096 3004 122.90      
2 A' 3085 2994 32.73      
3 A' 3080 2989 25.56      
4 A' 3052 2962 15.13      
5 A' 3040 2950 8.44      
6 A' 3036 2946 8.30      
7 A' 3016 2927 33.98      
8 A' 3012 2923 32.27      
9 A' 1489 1445 3.23      
10 A' 1475 1431 4.12      
11 A' 1471 1427 5.93      
12 A' 1394 1353 7.08      
13 A' 1392 1351 2.55      
14 A' 1369 1328 0.27      
15 A' 1353 1313 9.70      
16 A' 1264 1226 2.78      
17 A' 1240 1204 0.31      
18 A' 1191 1155 0.26      
19 A' 1128 1095 0.36      
20 A' 1042 1011 0.99      
21 A' 953 925 0.74      
22 A' 936 909 0.51      
23 A' 863 838 0.63      
24 A' 795 771 0.78      
25 A' 648 629 1.31      
26 A' 436 423 0.05      
27 A' 326 316 0.07      
28 A' 90 88 0.01      
29 A" 3089 2997 19.09      
30 A" 3085 2994 25.96      
31 A" 3082 2991 32.29      
32 A" 3035 2945 86.22      
33 A" 1475 1431 1.24      
34 A" 1470 1426 1.12      
35 A" 1461 1418 6.90      
36 A" 1278 1240 0.38      
37 A" 1259 1222 0.00      
38 A" 1217 1181 0.06      
39 A" 1134 1101 0.35      
40 A" 1119 1086 0.00      
41 A" 987 958 2.46      
42 A" 901 874 0.00      
43 A" 892 866 0.12      
44 A" 804 781 0.07      
45 A" 374 363 0.00      
46 A" 259 252 0.05      
47 A" 246 239 0.00      
48 A" 226 220 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 36333.0 cm-1
Scaled (by 0.9704) Zero Point Vibrational Energy (zpe) 35257.5 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 B3LYPultrafine/aug-cc-pVDZ
ABC
0.26034 0.07620 0.06925

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYPultrafine/aug-cc-pVDZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.247 0.079 1.086
C2 0.247 0.079 -1.086
C3 -0.658 0.730 0.000
C4 0.840 -0.869 0.000
C5 -0.831 2.244 0.000
C6 0.247 -2.278 0.000
H7 0.995 0.791 1.465
H8 -0.250 -0.393 1.945
H9 0.995 0.791 -1.465
H10 -0.250 -0.393 -1.945
H11 -1.649 0.252 0.000
H12 1.937 -0.939 0.000
H13 0.148 2.748 0.000
H14 -0.852 -2.250 0.000
H15 -1.384 2.581 -0.889
H16 -1.384 2.581 0.889
H17 0.568 -2.840 -0.890
H18 0.568 -2.840 0.890

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.17251.55691.55942.65082.59571.09911.09932.75213.10802.19192.25192.88282.79533.58102.99343.53982.9435
C22.17251.55691.55942.65082.59572.75213.10801.09911.09932.19192.25192.88282.79532.99343.58102.94353.5398
C31.55691.55692.19201.52353.14162.20972.28302.20972.28301.09943.08572.17282.98602.17802.17803.87843.8784
C41.55941.55942.19203.53341.52822.21982.28002.21982.28002.72981.09883.68312.18404.20084.20082.17912.1791
C52.65082.65081.52353.53344.64862.75483.32802.75483.32802.15314.21781.10054.49341.10041.10045.34735.3473
C62.59572.59573.14161.52824.64863.48192.75363.48192.75363.16172.15585.02691.10025.20245.20241.10011.1001
H71.09912.75212.20972.21982.75483.48191.78382.93023.81843.06972.45502.58723.84753.79563.03254.34873.7009
H81.09933.10802.28302.28003.32802.75361.78383.81843.89002.48112.97703.71602.75534.26233.35413.83292.7872
H92.75211.09912.20972.21982.75483.48192.93023.81841.78383.06972.45502.58723.84753.03253.79563.70094.3487
H103.10801.09932.28302.28003.32802.75363.81843.89001.78382.48112.97703.71602.75533.35414.26232.78723.8329
H112.19192.19191.09942.72982.15313.16173.06972.48113.06972.48113.77803.07492.62522.50692.50693.90723.9072
H122.25192.25193.08571.09884.21782.15582.45502.97702.45502.97703.77804.09813.08184.92064.92062.50582.5058
H132.88282.88282.17283.68311.10055.02692.58723.71602.58723.71603.07494.09815.09651.77911.77915.67395.6739
H142.79532.79532.98602.18404.49341.10023.84752.75533.84752.75532.62523.08185.09654.94054.94051.77711.7771
H153.58102.99342.17804.20081.10045.20243.79564.26233.03253.35412.50694.92061.77914.94051.77825.76206.0303
H162.99343.58102.17804.20081.10045.20243.03253.35413.79564.26232.50694.92061.77914.94051.77826.03035.7620
H173.53982.94353.87842.17915.34731.10014.34873.83293.70092.78723.90722.50585.67391.77715.76206.03031.7795
H182.94353.53983.87842.17915.34731.10013.70092.78724.34873.83293.90722.50585.67391.77716.03035.76201.7795

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 88.485 C1 C3 C5 118.755
C1 C3 H11 110.014 C1 C4 C2 88.306
C1 C4 C6 114.417 C1 C4 H12 114.700
C2 C3 C5 118.755 C2 C3 H11 110.014
C2 C4 C6 114.417 C2 C4 H12 114.700
C3 C1 C4 89.399 C3 C1 H7 111.434
C3 C1 H8 117.489 C3 C2 C4 89.399
C3 C2 H9 111.434 C3 C2 H10 117.489
C3 C5 H13 110.767 C3 C5 H15 111.190
C3 C5 H16 111.190 C4 C1 H7 112.061
C4 C1 H8 117.029 C4 C2 H9 112.061
C4 C2 H10 117.029 C4 C6 H14 111.340
C4 C6 H17 110.960 C4 C6 H18 110.960
C5 C3 H11 109.279 C6 C4 H12 109.199
H7 C1 H8 108.467 H9 C2 H10 108.467
H13 C5 H15 107.872 H13 C5 H16 107.872
H14 C6 H17 107.737 H14 C6 H18 107.737
H15 C5 H16 107.800 H17 C6 H18 107.953
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYPultrafine/aug-cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 1.587      
2 C 1.587      
3 C 0.202      
4 C 0.370      
5 C 0.786      
6 C 0.795      
7 H -0.576      
8 H -0.612      
9 H -0.576      
10 H -0.612      
11 H -0.710      
12 H -0.783      
13 H -0.271      
14 H -0.260      
15 H -0.209      
16 H -0.209      
17 H -0.253      
18 H -0.253      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.014 -0.019 0.000 0.023
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.174 0.300 0.000
y 0.300 -41.631 0.000
z 0.000 0.000 -41.239
Traceless
 xyz
x 1.261 0.300 0.000
y 0.300 -0.925 0.000
z 0.000 0.000 -0.336
Polar
3z2-r2-0.672
x2-y21.457
xy0.300
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.077 -0.736 0.000
y -0.736 12.424 0.000
z 0.000 0.000 10.710


<r2> (average value of r2) Å2
<r2> 194.378
(<r2>)1/2 13.942