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

using model chemistry: PBEPBE/6-31G*

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 PBEPBE/6-31G*
Rotational Constants (cm-1) from geometry optimized at PBEPBE/6-31G*
See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G*
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability

Conformer 2 (CS)

Jump to S1C1
Energy calculated at PBEPBE/6-31G*
 hartrees
Energy at 0K-235.500651
Energy at 298.15K-235.513907
Nuclear repulsion energy253.516765
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 PBEPBE/6-31G*
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' 3064 3020 68.10      
2 A' 3047 3003 42.98      
3 A' 3044 3001 21.84      
4 A' 3035 2992 13.33      
5 A' 3009 2966 31.92      
6 A' 2992 2950 9.07      
7 A' 2970 2927 31.35      
8 A' 2965 2922 31.11      
9 A' 1490 1469 2.45      
10 A' 1484 1463 1.25      
11 A' 1474 1452 5.50      
12 A' 1460 1439 0.02      
13 A' 1394 1374 1.09      
14 A' 1377 1358 7.96      
15 A' 1292 1273 4.79      
16 A' 1274 1256 5.38      
17 A' 1208 1190 1.99      
18 A' 1181 1164 0.34      
19 A' 996 981 0.67      
20 A' 971 957 0.64      
21 A' 934 921 0.51      
22 A' 909 896 0.37      
23 A' 854 842 0.22      
24 A' 698 688 1.37      
25 A' 589 581 1.50      
26 A' 387 381 0.38      
27 A' 340 335 0.03      
28 A' 157 155 0.02      
29 A" 3043 3000 41.42      
30 A" 3041 2997 18.37      
31 A" 3036 2992 7.53      
32 A" 2987 2945 73.27      
33 A" 1488 1467 6.62      
34 A" 1464 1443 0.16      
35 A" 1455 1434 2.48      
36 A" 1248 1230 0.10      
37 A" 1226 1208 0.18      
38 A" 1196 1179 0.12      
39 A" 1158 1142 3.39      
40 A" 1066 1051 0.04      
41 A" 966 952 0.02      
42 A" 939 926 1.44      
43 A" 864 851 0.09      
44 A" 774 763 0.33      
45 A" 376 370 0.12      
46 A" 293 289 0.03      
47 A" 261 257 0.01      
48 A" 221 217 0.05      

Unscaled Zero Point Vibrational Energy (zpe) 35847.6 cm-1
Scaled (by 0.9857) Zero Point Vibrational Energy (zpe) 35335.0 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 PBEPBE/6-31G*
ABC
0.16435 0.10212 0.09329

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/6-31G*

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.096 0.407 0.000
C2 0.354 -1.738 0.000
C3 -0.096 -0.723 1.086
C4 -0.096 -0.723 -1.086
C5 1.220 1.196 0.000
C6 -1.297 1.353 0.000
H7 1.446 -1.892 0.000
H8 -0.132 -2.728 0.000
H9 0.562 -0.579 1.961
H10 0.562 -0.579 -1.961
H11 -1.117 -0.935 1.448
H12 -1.117 -0.935 -1.448
H13 2.098 0.525 0.000
H14 -2.248 0.792 0.000
H15 1.293 1.843 -0.893
H16 1.293 1.843 0.893
H17 -1.290 2.007 0.892
H18 -1.290 2.007 -0.892

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 H7 H8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18
C12.19211.56741.56741.53401.52822.76853.13532.29152.29152.22282.22282.19712.18622.18792.18792.18632.1863
C22.19211.55271.55273.05893.50391.10301.10242.28732.28732.21512.21512.85743.62893.80823.80824.18594.1859
C31.56741.55272.17132.56762.63252.21862.27991.10443.12011.10432.73992.74782.84693.52552.92412.98603.5762
C41.56741.55272.17132.56762.63252.21862.27993.12011.10442.73991.10432.74782.84692.92413.52553.57622.9860
C51.53403.05892.56762.56762.52163.09594.14982.72542.72543.47833.47831.10473.49161.10541.10542.78492.7849
C61.52823.50392.63252.63252.52164.24864.24343.32133.32132.71312.71313.49411.10462.78262.78261.10581.1058
H72.76851.10302.21862.21863.09594.24861.78562.52012.52013.09593.09592.50364.56593.84323.84324.84594.8459
H83.13531.10242.27992.27994.14984.24341.78562.99052.99052.50662.50663.94394.10644.87014.87014.95494.9549
H92.29152.28731.10443.12012.72543.32132.52012.99053.92181.79163.81662.72473.69043.81382.74593.35554.2726
H102.29152.28733.12011.10442.72543.32132.52012.99053.92183.81661.79162.72473.69042.74593.81384.27263.3555
H112.22282.21511.10432.73993.47832.71313.09592.50661.79163.81662.89593.81672.52084.35943.71902.99833.7623
H122.22282.21512.73991.10433.47832.71313.09592.50663.81661.79162.89593.81672.52083.71904.35943.76232.9983
H132.19712.85742.74782.74781.10473.49412.50363.94392.72472.72473.81673.81674.35421.78391.78393.80423.8042
H142.18623.62892.84692.84693.49161.10464.56594.10643.69043.69042.52082.52084.35423.80013.80011.78571.7857
H152.18793.80823.52552.92411.10542.78263.84324.87013.81382.74594.35943.71901.78393.80011.78633.14432.5885
H162.18793.80822.92413.52551.10542.78263.84324.87012.74593.81383.71904.35941.78393.80011.78632.58853.1443
H172.18634.18592.98603.57622.78491.10584.84594.95493.35554.27262.99833.76233.80421.78573.14432.58851.7837
H182.18634.18593.57622.98602.78491.10584.84594.95494.27263.35553.76232.99833.80421.78572.58853.14431.7837

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 89.266 C1 C3 H9 117.050
C1 C3 H11 111.429 C1 C4 C2 89.266
C1 C4 H10 117.050 C1 C4 H12 111.429
C1 C5 H13 111.713 C1 C5 H15 110.935
C1 C5 H16 110.935 C1 C6 H14 111.248
C1 C6 H17 111.187 C1 C6 H18 111.187
C2 C3 H9 117.836 C2 C3 H11 111.854
C2 C4 H10 117.836 C2 C4 H12 111.854
C3 C1 C4 87.676 C3 C1 C5 111.757
C3 C1 C6 116.500 C3 C2 C4 88.723
C3 C2 H7 112.212 C3 C2 H8 117.327
C4 C1 C5 111.757 C4 C1 C6 116.500
C4 C2 H7 112.212 C4 C2 H8 117.327
C5 C1 C6 110.863 H7 C2 H8 108.129
H9 C3 H11 108.418 H10 C4 H12 108.418
H13 C5 H15 107.640 H13 C5 H16 107.640
H14 C6 H17 107.767 H14 C6 H18 107.767
H15 C5 H16 107.802 H17 C6 H18 107.508
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/6-31G* Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.107      
2 C -0.309      
3 C -0.300      
4 C -0.300      
5 C -0.493      
6 C -0.496      
7 H 0.153      
8 H 0.148      
9 H 0.144      
10 H 0.144      
11 H 0.145      
12 H 0.145      
13 H 0.153      
14 H 0.149      
15 H 0.153      
16 H 0.153      
17 H 0.153      
18 H 0.153      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.007 0.023 0.000 0.024
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -39.335 0.285 0.000
y 0.285 -40.114 0.000
z 0.000 0.000 -39.945
Traceless
 xyz
x 0.694 0.285 0.000
y 0.285 -0.473 0.000
z 0.000 0.000 -0.221
Polar
3z2-r2-0.442
x2-y20.778
xy0.285
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.132 -0.092 0.000
y -0.092 9.917 0.000
z 0.000 0.000 8.942


<r2> (average value of r2) Å2
<r2> 169.512
(<r2>)1/2 13.020