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All results from a given calculation for NH2CH2CH2COOH (β–alanine)

using model chemistry: mPW1PW91/6-31+G**

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/6-31+G**
 hartrees
Energy at 0K-323.694561
Energy at 298.15K-323.704453
Nuclear repulsion energy247.995126
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 mPW1PW91/6-31+G**
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 3656 3480 14.33      
2 A 3561 3390 2.43      
3 A 3229 3074 873.03      
4 A 3164 3012 4.54      
5 A 3123 2972 18.23      
6 A 3068 2920 5.59      
7 A 3053 2906 63.61      
8 A 1867 1777 470.97      
9 A 1667 1587 40.75      
10 A 1524 1450 34.82      
11 A 1508 1435 244.79      
12 A 1469 1398 11.11      
13 A 1425 1356 10.37      
14 A 1378 1312 12.34      
15 A 1321 1258 7.63      
16 A 1308 1245 31.74      
17 A 1266 1205 57.98      
18 A 1156 1100 6.67      
19 A 1099 1046 7.55      
20 A 1039 989 64.06      
21 A 1022 973 59.24      
22 A 971 924 3.41      
23 A 924 879 32.60      
24 A 880 837 45.20      
25 A 824 784 24.13      
26 A 700 666 10.22      
27 A 579 551 2.60      
28 A 496 472 9.70      
29 A 415 395 13.27      
30 A 340 323 6.52      
31 A 287 273 10.53      
32 A 203 194 5.51      
33 A 89 85 0.59      

Unscaled Zero Point Vibrational Energy (zpe) 24304.5 cm-1
Scaled (by 0.9518) Zero Point Vibrational Energy (zpe) 23133.0 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 mPW1PW91/6-31+G**
ABC
0.24095 0.08436 0.06660

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/6-31+G**

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
N1 1.893 0.578 0.141
C2 1.365 -0.700 -0.355
C3 0.010 -0.998 0.284
C4 -1.079 0.040 0.022
O5 -0.668 1.308 -0.051
O6 -2.242 -0.264 -0.086
H7 2.656 0.918 -0.432
H8 2.238 0.492 1.091
H9 2.046 -1.541 -0.175
H10 1.247 -0.608 -1.439
H11 -0.373 -1.959 -0.061
H12 0.124 -1.080 1.373
H13 0.322 1.331 0.050

Atom - Atom Distances (Å)
  N1 C2 C3 C4 O5 O6 H7 H8 H9 H10 H11 H12 H13
N11.46902.45983.02202.67014.22591.01291.01442.14802.07833.40802.71971.7448
C21.46901.52792.58082.87413.64342.07122.06701.09711.09402.16662.16142.3194
C32.45981.52791.52632.42682.39723.34452.79902.15752.15651.09101.09792.3616
C43.02202.58081.52631.33491.20753.86313.51353.50752.82122.12142.12721.9050
O52.67012.87412.42681.33492.22463.36903.22743.93733.04393.28062.89080.9954
O64.22593.64342.39721.20752.22465.05064.69334.47563.75752.52332.89713.0226
H71.01292.07123.34453.86313.36905.05061.63562.54602.30834.19433.69612.4194
H81.01442.06702.79903.51353.22744.69331.63562.40242.93093.76202.64932.3367
H92.14801.09712.15753.50753.93734.47562.54602.40241.76232.45842.51143.3580
H102.07831.09402.15652.82123.04393.75752.30832.93091.76232.51943.06422.6141
H113.40802.16661.09102.12143.28062.52334.19433.76202.45842.51941.75443.3650
H122.71972.16141.09792.12722.89082.89713.69612.64932.51143.06421.75442.7574
H131.74482.31942.36161.90500.99543.02262.41942.33673.35802.61413.36502.7574

picture of β–alanine state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
N1 C2 C3 110.308 N1 C2 H9 112.861
N1 C2 H10 107.463 C2 N1 H7 111.813
C2 N1 H8 111.356 C2 C3 C4 115.340
C2 C3 H11 110.532 C2 C3 H12 109.712
C3 C2 H9 109.457 C3 C2 H10 109.559
C3 C4 O5 115.866 C3 C4 O6 122.105
C4 C3 H11 107.117 C4 C3 H12 107.178
C4 O5 H13 108.799 O5 C4 O6 122.013
H7 N1 H8 107.567 H9 C2 H10 107.088
H11 C3 H12 106.546
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/6-31+G** Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 N -0.765      
2 C -0.252      
3 C -0.289      
4 C 0.354      
5 O -0.441      
6 O -0.453      
7 H 0.325      
8 H 0.325      
9 H 0.171      
10 H 0.189      
11 H 0.209      
12 H 0.199      
13 H 0.426      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  6.842 -1.404 0.594 7.010
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -40.090 1.815 -0.349
y 1.815 -37.768 0.064
z -0.349 0.064 -33.777
Traceless
 xyz
x -4.317 1.815 -0.349
y 1.815 -0.835 0.064
z -0.349 0.064 5.152
Polar
3z2-r210.304
x2-y2-2.322
xy1.815
xz-0.349
yz0.064


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 9.131 0.363 0.125
y 0.363 7.457 -0.031
z 0.125 -0.031 5.977


<r2> (average value of r2) Å2
<r2> 171.282
(<r2>)1/2 13.087