Percentage by weight (w/v) = (% buffer desired/100) x final buffer vol (ml) = g of starting material needed.
Molar Solutions = desired molarity x formula weight x solution final volume (L) = grams needed
Henderson-Hasselbach Equation pH= pKa + log ([A-] / [HA])
Useful pH Ranges of Selected Biological Buffers (25 °C, 0.1M)
|
Buffers
|
Useful pH Range
|
pKa (20 oC)
|
pKa (25 oC)
|
pKa (37 oC)
|
|
MES
|
5.5–6.7
|
6.16
|
6.10
|
5.97
|
|
Bis-Tris
|
5.8–7.2
|
n/a
|
6.50
|
6.36
|
|
ADA
|
6.0–7.2
|
6.65
|
6.59
|
6.46
|
|
Aces
|
6.1–7.5
|
6.88
|
6.78
|
6.54
|
|
PIPES
|
6.1–7.5
|
6.80
|
6.76
|
6.66
|
|
MOPSO
|
6.2–7.6
|
n/a
|
6.90
|
6.75
|
|
Bis-Tris Propane
|
6.3–9.5
|
n/a
|
6.8, 9.0
|
n/a
|
|
BES
|
6.4–7.8
|
7.17
|
7.09
|
6.90
|
|
MOPS
|
6.5–7.9
|
7.28
|
7.20
|
7.02
|
|
TES
|
6.8–8.2
|
7.50
|
7.40
|
7.16
|
|
HEPES
|
6.8–8.2
|
7.55
|
7.48
|
7.31
|
|
DIPSO
|
7.0–8.2
|
n/a
|
7.60
|
7.35
|
|
MOBS
|
6.9–8.3
|
n/a
|
7.60
|
n/a
|
|
TAPSO
|
7.0–8.2
|
n/a
|
7.60
|
7.39
|
|
Trizma
|
7.0–9.0
|
8.20
|
8.06
|
7.72
|
|
HEPPSO
|
7.1–8.5
|
n/a
|
7.80
|
6.66
|
|
POPSO
|
7.2–8.5
|
n/a
|
7.80
|
7.63
|
|
TEA
|
7.3–8.3
|
n/a
|
7.80
|
n/a
|
|
EPPS
|
7.3–8.7
|
n/a
|
8.00
|
n/a
|
|
Tricine
|
7.4–8.8
|
8.16
|
8.05
|
7.80
|
|
Gly-Gly
|
7.5–8.9
|
n/a
|
8.20
|
n/a
|
|
Bicine
|
7.6–9.0
|
8.35
|
8.26
|
8.04
|
|
HEPBS
|
7.6–9.0
|
n/a
|
8.30
|
n/a
|
|
TAPS
|
7.7-9.1
|
8.49
|
8.40
|
8.18
|
|
AMPD
|
7.8–9.7
|
n/a
|
8.80
|
n/a
|
|
TABS
|
8.2–9.6
|
n/a
|
8.90
|
n/a
|
|
AMPSO
|
8.3–9.7
|
n/a
|
9.00
|
9.10
|
|
CHES
|
8.6–10.0
|
9.55
|
9.49
|
9.36
|
|
CAPSO
|
8.9–10.3
|
n/a
|
9.60
|
9.43
|
|
AMP
|
9.0–10.5
|
n/a
|
9.70
|
n/a
|
|
CAPS
|
9.7–11.1
|
10.56
|
10.40
|
10.02
|
|
CABS
|
10.0–11.4
|
n/a
|
10.70
|
n/a
|
Tris Buffer Table – pH vs Temperature
|
pH at Temperature
|
g/L for 0.05 M Solution
|
|
5 °C
|
25 °C
|
37 °C
|
Tris-HCL
|
Tris-Base
|
|
7.76
|
7.20
|
6.91
|
7.02
|
0.67
|
|
7.89
|
7.30
|
7.02
|
6.85
|
0.80
|
|
7.97
|
7.40
|
7.12
|
6.61
|
0.97
|
|
8.07
|
7.50
|
7.22
|
6.35
|
1.18
|
|
8.18
|
7.60
|
7.30
|
6.06
|
1.39
|
|
8.26
|
7.70
|
7.40
|
5.72
|
1.66
|
|
8.37
|
7.80
|
7.52
|
5.32
|
1.97
|
|
8.48
|
7.90
|
7.62
|
4.88
|
2.30
|
|
8.58
|
8.00
|
7.71
|
4.44
|
2.65
|
|
8.68
|
8.10
|
7.80
|
4.02
|
2.97
|
|
8.78
|
8.20
|
7.91
|
3.54
|
3.34
|
|
8.88
|
8.30
|
8.01
|
3.07
|
3.70
|
|
8.98
|
8.40
|
8.10
|
2.64
|
4.03
|
|
9.09
|
8.50
|
8.22
|
2.21
|
4.36
|
|
9.18
|
8.60
|
8.31
|
1.83
|
4.65
|
|
9.28
|
8.70
|
8.42
|
1.50
|
4.90
|
|
9.36
|
8.80
|
8.51
|
1.23
|
5.13
|
|
9.47
|
8.90
|
8.62
|
0.96
|
5.32
|
|
9.56
|
9.00
|
8.70
|
0.76
|
5.47
|
Phosphate Buffer Table – 0.2M solution
|
Na-Phosphate
Monobasic Anhydrous (g/L)
|
Na-Phosphate
Dibasic Heptahydrate (g/L)
|
pH 23 °C
|
|
22.4
|
3.49
|
5.7
|
|
22.08
|
4.29
|
5.8
|
|
21.60
|
5.37
|
5.9
|
|
21.05
|
6.60
|
6.0
|
|
20.40
|
8.05
|
6.1
|
|
19.56
|
9.93
|
6.2
|
|
18.60
|
12.07
|
6.3
|
|
17.64
|
14.22
|
6.4
|
|
16.44
|
16.90
|
6.5
|
|
15.00
|
20.12
|
6.6
|
|
13.56
|
23.34
|
6.7
|
|
12.24
|
26.29
|
6.8
|
|
10.80
|
29.51
|
6.9
|
|
9.36
|
32.73
|
7.0
|
|
7.92
|
35.95
|
7.1
|
|
6.72
|
38.63
|
7.2
|
|
5.52
|
41.31
|
7.3
|
|
4.56
|
43.46
|
7.4
|
|
3.84
|
45.07
|
7.5
|
|
3.12
|
46.68
|
7.6
|
|
2.52
|
48.55
|
7.7
|
|
2.04
|
49.09
|
7.8
|
|
1.68
|
49.89
|
7.9
|
|
1.27
|
50.81
|
8.0
|
Citric Acid – Na2HPO4 Buffer Solutions, pH approx. 2.6–7.61
Citric acid monohydrate, C6H8O7 H2O, M. wt. 210.14
0.1M-solution contains 21.01 g/l
Na2HPO4, M. wt. 141.98;0.2M-solution contains 28.40 g/l
Na2HPO4 2H2O, M. wt. 178.05; 0.2M-solution contains 35.61 g/l
x ml 0.1M-citric acid and y ml 0.2M-Na2HPO4 mixed
|
pH
|
x ml 0.1M-citric acid
|
y ml 0.2-Na2HPO4
|
|
2.6
|
89.10
|
10.90
|
|
2.8
|
84.15
|
15.85
|
|
3.0
|
79.45
|
20.55
|
|
3.2
|
75.30
|
24.70
|
|
3.4
|
71.50
|
28.50
|
|
3.6
|
67.80
|
32.20
|
|
3.8
|
64.50
|
35.50
|
|
4.0
|
61.45
|
38.55
|
|
4.2
|
58.60
|
41.40
|
|
4.4
|
55.90
|
44.10
|
|
4.6
|
53.25
|
46.75
|
|
4.8
|
50.70
|
49.30
|
|
5.0
|
48.50
|
51.50
|
|
5.2
|
46.40
|
53.60
|
|
5.4
|
44.25
|
55.75
|
|
5.6
|
42.00
|
58.00
|
|
5.8
|
39.55
|
60.45
|
|
6.0
|
36.85
|
63.15
|
|
6.2
|
33.90
|
66.10
|
|
6.4
|
30.75
|
69.25
|
|
6.6
|
27.25
|
72.75
|
|
6.8
|
22.75
|
77.25
|
|
7.0
|
17.65
|
82.35
|
|
7.2
|
13.05
|
86.95
|
|
7.4
|
9.15
|
90.85
|
|
7.6
|
6.35
|
93.65
|
Citric Acid – Sodium Citrate Buffer Solutions, pH 3.0–6.21
Citric acid monohydrate, C6H8O7 H2O, M. wt. 210.14
0.1M-solution contains 21.01 g/l
Trisodium citrate dihydrate, C6H5O7Na3 2H2O, M. wt. 294.12
0.1M-solution contains 29.41 g/l
x ml 0.1M-citric acid
y ml 0.1M-trisodium citrate mixed
|
pH
|
x ml 0.1 M-citric acid
|
y ml 0.1M-trisodium citrate
|
|
3.0
|
82.0
|
18.0
|
|
3.2
|
77.5
|
22.5
|
|
3.4
|
73.0
|
27.0
|
|
3.6
|
68.5
|
31.5
|
|
3.8
|
63.5
|
36.5
|
|
4.0
|
59.0
|
41.0
|
|
4.2
|
54.0
|
46.0
|
|
4.4
|
49.5
|
50.5
|
|
4.6
|
44.5
|
55.5
|
|
4.8
|
40.0
|
60.0
|
|
5.0
|
35.0
|
65.0
|
|
5.2
|
30.5
|
69.5
|
|
5.4
|
25.5
|
74.5
|
|
5.6
|
21.0
|
79.0
|
|
5.8
|
16.0
|
84.0
|
|
6.0
|
11.5
|
88.5
|
|
6.2
|
8.0
|
92.0
|
Sodium Acetate – Acetic Acid Buffer Solutions, pH 3.7–5.61
Sodium acetate trihydrate, CH3COONa 3H2O, M. wt. 136.09
0.2M-solution contains 27.22 g/l
x ml 0.2M-NaOAc
y ml 0.2M-HOAc mixed
|
pH, 18 °C
|
x ml 0.2M-NaOAc
|
y ml 0.2M-HOAc
|
|
3.7
|
10.0
|
90.0
|
|
3.8
|
12.0
|
88.0
|
|
4.0
|
18.0
|
82.0
|
|
4.2
|
26.5
|
73.5
|
|
4.4
|
37.0
|
63.0
|
|
4.6
|
49.0
|
51.0
|
|
4.8
|
59.0
|
41.0
|
|
5.0
|
70.0
|
30.0
|
|
5.2
|
79.0
|
21.0
|
|
5.4
|
86.0
|
14.0
|
|
5.6
|
91.0
|
9.0
|
Na2HPO4 – NaH2PO4 Buffer Solutions, pH 5.8–8.0 at 25 °C
Na2HPO4 2H2O, M. wt. 178.05
0.2M-solution contains 35.61 g/l, Na2HPO4 12H2O, M. wt. 358.22
0.2M -solution contains 71.64 g/l, NaH2PO4 H2O, M. wt. 138.01
0.2M-solution contains 27.6 g/l, NaH2PO4 2H2O, M. wt. 156.03
0.2M-solution contains 31.21 g/l
x ml 0.2M-Na2HPO4, y ml 0.2M-NaH2PO4; diluted to 100 ml with H2O
|
pH, 25 °C
|
x ml 0.2M-Na2HPO4
|
y ml 0.2M-NaH2PO2
|
|
5.8
|
4.0
|
46.0
|
|
6.0
|
6.15
|
43.85
|
|
6.2
|
9.25
|
40.75
|
|
6.4
|
13.25
|
36.75
|
|
6.6
|
18.75
|
31.25
|
|
6.8
|
24.5
|
25.5
|
|
7.0
|
30.5
|
19.5
|
|
7.2
|
36.0
|
14.0
|
|
7.4
|
40.5
|
9.5
|
|
7.6
|
43.5
|
6.5
|
|
7.8
|
45.75
|
4.25
|
|
8.0
|
47.35
|
2.65
|
Imidazole (glyoxaline) – HCl buffer solutions, pH 6.2–7.8 at 25 °C
Imidazole, C3H4N2, M. wt. 68.08
25 ml 0.2M-imidazole (13.62 g/l), x ml 0.2M-HCl, diluted to 100 ml with H2O
|
pH, 25 °C
|
x ml 0.2M-HCl
|
|
6.2
|
21.45
|
|
6.4
|
19.9
|
|
6.6
|
17.75
|
|
6.8
|
15.2
|
|
7.0
|
12.15
|
|
7.2
|
9.3
|
|
7.4
|
6.8
|
|
7.6
|
4.65
|
|
7.8
|
3.0
|
Sodium Carbonate – Sodium Bicarbonate Buffer Solutions, pH 9.2–10.81
Na2CO3 10H2O, M. wt. 286.2; 0.1M-solution contains 28.62 g/l
NaHCO3, M. wt. 84.0; 0.1M-solution contains 8.40 g/l
x ml 0.1M-Na2CO3 and y ml 0.1M-Na2HCO3 mixed
|
pH
|
x ml 0.1M-Na2CO3
|
y ml 0.1M-NaHCO3
|
|
|
20 °C
|
37 °C
|
|
|
|
9.2
|
8.8
|
10
|
90
|
|
9.4
|
9.1
|
20
|
80
|
|
9.5
|
9.4
|
30
|
70
|
|
9.8
|
9.5
|
40
|
60
|
|
9.9
|
9.7
|
50
|
50
|
|
10.1
|
9.9
|
60
|
40
|
|
10.3
|
10.1
|
70
|
30
|
|
10.5
|
10.3
|
80
|
20
|
|
10.8
|
10.6
|
90
|
10
|