Units
Notation
Command |
|
|
|---|---|---|
|
\(l\) |
l_unit |
|
\(T\) |
T_unit |
|
\(m\) |
m_unit |
|
\(\eta\) |
\(\mathbf{\eta}\)_unit |
Properties with length scaling
If the units of the output is length to the \(x\) power, and \(r\) is the result prior to unit conversion, then the output is
\(r \cdot l^x\) l_unit\(^x\).
Intrinsic viscosity with mass units
If l_unit = L, then
\([\eta]_{m}=q_\eta \langle\alpha\rangle/m \cdot l^3\) l_unit\(^3\)/m_unit
else
\([\eta]_{m}=q_\eta \langle\alpha\rangle/m \cdot l^3 a_{l}^3 a_{m}\)
cm\(^3\)/g.
Friction coefficient
L, then\(f = 6\pi\eta R_H \cdot 10^{-2} l a_l a_\eta\)
dyne\(\cdot\)s/cm.
Diffusion coefficient
L, then\(D = k_{B}(T + a_T)/(6\pi\eta R_H) \cdot 10^{9} l^{-1} a_l^{-1} a_\eta^{-1}\)
cm\(^2\)/s.
Sedimentation coefficient
L, then\(s = mb/(6\pi\eta R_H) \cdot 10^{15} l^{-1} a_l^{-1} a_\eta^{-1} a_m^{-1}\)
Sved.
Conversion tables
l_unit |
\(a_{l}\) |
uncertainty |
|---|---|---|
|
100 |
0 |
|
1 |
0 |
|
\(10^{-7}\) |
0 |
|
\(10^{-8}\) |
0 |
T_unit |
\(a_{T}\) |
uncertainty |
|---|---|---|
|
273.15 |
0 |
|
0 |
0 |
m_unit |
\(a_{m}\) |
uncertainty |
|---|---|---|
|
\(6.02214 \cdot 10^{23}\) |
\(10^{18}\) |
|
\(6.02214 \cdot 10^{20}\) |
\(10^{15}\) |
|
\(1\) |
0 |
|
\(10^{-3}\) |
0 |
\(\eta\)_unit |
\(a_{\eta}\) |
uncertainty |
|---|---|---|
|
1 |
0 |
|
100 |
0 |
\(k_B\) |
uncertainty |
|---|---|
\(1.38065 \cdot 10^{-23}\) |
\(10^{-28}\) |