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 |
|---|---|
\(1.38065 \cdot 10^{-23}\) |
\(10^{-28}\) |