return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C4H6(CH3)2 (1,1-dimethylcyclobutane)

using model chemistry: B3LYP/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 (C2V)

Jump to S1C2
Vibrational Frequencies calculated at B3LYP/cc-pVTZ
Rotational Constants (cm-1) from geometry optimized at B3LYP/cc-pVTZ
See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at B3LYP/cc-pVTZ
 hartrees
Energy at 0K-235.931333
Energy at 298.15K-235.944773
Nuclear repulsion energy254.820369
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 B3LYP/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' 3105 3001 77.33      
2 A' 3079 2977 29.30      
3 A' 3079 2976 51.39      
4 A' 3074 2971 8.34      
5 A' 3056 2954 28.10      
6 A' 3042 2940 10.80      
7 A' 3015 2914 34.24      
8 A' 3009 2909 29.71      
9 A' 1513 1463 1.99      
10 A' 1504 1454 2.52      
11 A' 1494 1444 5.04      
12 A' 1485 1435 0.11      
13 A' 1421 1374 1.88      
14 A' 1404 1357 9.11      
15 A' 1314 1270 5.21      
16 A' 1296 1253 4.44      
17 A' 1233 1192 1.92      
18 A' 1208 1168 0.56      
19 A' 1006 972 0.26      
20 A' 984 951 0.45      
21 A' 950 918 0.24      
22 A' 915 885 0.17      
23 A' 868 839 0.10      
24 A' 710 687 1.02      
25 A' 607 587 0.89      
26 A' 399 386 0.34      
27 A' 350 338 0.00      
28 A' 136 132 0.00      
29 A" 3084 2981 13.22      
30 A" 3072 2970 53.33      
31 A" 3065 2962 8.46      
32 A" 3038 2936 82.29      
33 A" 1508 1458 6.85      
34 A" 1486 1437 0.73      
35 A" 1482 1433 4.00      
36 A" 1279 1236 0.13      
37 A" 1259 1217 0.24      
38 A" 1227 1186 0.01      
39 A" 1185 1145 2.24      
40 A" 1090 1054 0.03      
41 A" 991 958 0.00      
42 A" 936 905 1.56      
43 A" 873 843 0.01      
44 A" 792 766 0.09      
45 A" 390 377 0.03      
46 A" 303 293 0.01      
47 A" 266 257 0.00      
48 A" 226 218 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 36404.1 cm-1
Scaled (by 0.9666) Zero Point Vibrational Energy (zpe) 35188.2 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 B3LYP/cc-pVTZ
ABC
0.16587 0.10278 0.09404

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3LYP/cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.089 0.407 0.000
C2 0.327 -1.742 0.000
C3 -0.089 -0.717 1.084
C4 -0.089 -0.717 -1.084
C5 1.218 1.198 0.000
C6 -1.288 1.344 0.000
H7 1.399 -1.936 0.000
H8 -0.191 -2.700 0.000
H9 0.583 -0.582 1.932
H10 0.583 -0.582 -1.932
H11 -1.092 -0.911 1.465
H12 -1.092 -0.911 -1.465
H13 2.088 0.540 0.000
H14 -2.227 0.787 0.000
H15 1.285 1.838 -0.883
H16 1.285 1.838 0.883
H17 -1.283 1.990 0.882
H18 -1.283 1.990 -0.882

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.18881.56161.56161.52791.52212.77533.10792.27202.27202.21142.21142.18142.17142.17202.17202.17012.1701
C22.18881.54861.54863.07243.48371.08931.08882.26852.26852.20302.20302.88243.59473.81003.81004.15924.1592
C31.56161.54862.16782.55992.61982.20782.26141.09063.09311.09072.74642.73792.83003.50562.90872.96583.5524
C41.56161.54862.16782.55992.61982.20782.26143.09311.09062.74641.09072.73792.83002.90873.50563.55242.9658
C51.52793.07242.55992.55992.51003.13954.14482.70312.70313.45443.45441.09163.46901.09261.09262.76702.7670
C61.52213.48372.61982.61982.51004.24044.19013.30803.30802.69672.69673.47081.09162.76512.76511.09311.0931
H72.77531.08932.20782.20783.13954.24041.76432.49702.49703.06693.06692.56974.53473.87763.87764.83564.8356
H83.10791.08882.26142.26144.14484.19011.76432.96952.96952.48162.48163.96104.03774.85294.85294.89514.8951
H92.27202.26851.09063.09312.70313.30802.49702.96953.86491.76963.80242.69443.67433.77852.72963.34604.2442
H102.27202.26853.09311.09062.70313.30802.49702.96953.86493.80241.76962.69443.67432.72963.77854.24423.3460
H112.21142.20301.09072.74643.45442.69673.06692.48161.76963.80242.93073.79062.51374.32743.68102.96523.7366
H122.21142.20302.74641.09073.45442.69673.06692.48163.80241.76962.93073.79062.51373.68104.32743.73662.9652
H132.18142.88242.73792.73791.09163.47082.56973.96102.69442.69443.79063.79064.32211.76361.76363.77413.7741
H142.17143.59472.83002.83003.46901.09164.53474.03773.67433.67432.51372.51374.32213.77083.77081.76511.7651
H152.17203.81003.50562.90871.09262.76513.87764.85293.77852.72964.32743.68101.76363.77081.76623.11982.5724
H162.17203.81002.90873.50561.09262.76513.87764.85292.72963.77853.68104.32741.76363.77081.76622.57243.1198
H172.17014.15922.96583.55242.76701.09314.83564.89513.34604.24422.96523.73663.77411.76513.11982.57241.7640
H182.17014.15923.55242.96582.76701.09314.83564.89514.24423.34603.73662.96523.77411.76512.57243.11981.7640

picture of 1,1-dimethylcyclobutane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 C2 89.457 C1 C3 H9 116.773
C1 C3 H11 111.746 C1 C4 C2 89.457
C1 C4 H10 116.773 C1 C4 H12 111.746
C1 C5 H13 111.682 C1 C5 H15 110.874
C1 C5 H16 110.874 C1 C6 H14 111.290
C1 C6 H17 111.098 C1 C6 H18 111.098
C2 C3 H9 117.477 C2 C3 H11 112.005
C2 C4 H10 117.477 C2 C4 H12 112.005
C3 C1 C4 87.911 C3 C1 C5 111.903
C3 C1 C6 116.325 C3 C2 C4 88.841
C3 C2 H7 112.470 C3 C2 H8 116.992
C4 C1 C5 111.903 C4 C1 C6 116.325
C4 C2 H7 112.470 C4 C2 H8 116.992
C5 C1 C6 110.763 H7 C2 H8 108.192
H9 C3 H11 108.444 H10 C4 H12 108.444
H13 C5 H15 107.694 H13 C5 H16 107.694
H14 C6 H17 107.799 H14 C6 H18 107.799
H15 C5 H16 107.858 H17 C6 H18 107.588
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3LYP/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.156      
2 C -0.186      
3 C -0.183      
4 C -0.183      
5 C -0.319      
6 C -0.298      
7 H 0.085      
8 H 0.088      
9 H 0.078      
10 H 0.078      
11 H 0.080      
12 H 0.080      
13 H 0.089      
14 H 0.083      
15 H 0.088      
16 H 0.088      
17 H 0.088      
18 H 0.088      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.010 0.024 0.000 0.026
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.314 0.320 0.000
y 0.320 -41.167 0.000
z 0.000 0.000 -40.939
Traceless
 xyz
x 0.739 0.320 0.000
y 0.320 -0.541 0.000
z 0.000 0.000 -0.199
Polar
3z2-r2-0.398
x2-y20.853
xy0.320
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 10.145 -0.155 0.000
y -0.155 11.138 0.000
z 0.000 0.000 10.037


<r2> (average value of r2) Å2
<r2> 168.875
(<r2>)1/2 12.995