Dipole moment units converter
Converts dipole moment from one unit to another e.g. from debyes to atomic units or vice versa.

# Beta version#

BETA TEST VERSION OF THIS ITEM
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# Symbolic algebra

ⓘ Hint: This calculator supports symbolic math. You can enter numbers, but also symbols like a, b, pi or even whole math expressions such as (a+b)/2. If you still don't sure how to make your life easier using symbolic algebra check out our another page: Symbolic calculations

# Inputs data - value and unit, which we're going to convert#

 Value Unit coulomb gigameter [C × Gm]coulomb megameter [C × Mm]coulomb kilometer [C × km]coulomb meter [C × m]coulomb decimeter [C × dm]coulomb centimeter [C × cm]coulomb milimeter [C × mm]coulomb micrometer [C × µm]coulomb nanometer [C × nm]coulomb angstrom [C × Å]coulomb nanometer [C × pm]coulomb femtometer [C × fm]coulomb attometer [C × am]debye [D]atomic unit of electric dipole moment [au] Decimals 0123456789

# SI#

 Unit Symbol Symbol(plain text) Value as symbolic Value as numeric Notes Unit conversion formula coulomb gigameter Show source$C \times Gm$ C × Gm Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit gigameter (1 Gm).$1\ C \times Gm = 10^9\ C \times m$ Show source$...$ coulomb megameter Show source$C \times Mm$ C × Mm Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit megameter (1 Mm).$1\ C \times Mm = 10^6\ C \times m$ Show source$...$ coulomb kilometer Show source$C \times km$ C × km Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit kilometer (1 km).$1\ C \times km = 1000\ C \times m$ Show source$...$ coulomb meter Show source$C \times m$ C × m Show source$\text{...}$ - The basic unit of dipole moment in the SI system. One coulomb times a meter corresponds to a dipole moment occurring between two opposing point charges of one coulomb (1 C), located at a distance of one meter (1 m). Show source$...$ coulomb decimeter Show source$C \times dm$ C × dm Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit decimeter (1 dm).$1\ C \times dm = 0.1\ C \times m$ Show source$...$ coulomb centimeter Show source$C \times cm$ C × cm Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit centimeter (1 cm).$1\ C \times cm = 0.01\ C \times m$ Show source$...$ coulomb milimeter Show source$C \times mm$ C × mm Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit milimeter (1 mm).$1\ C \times mm = 0.001\ C \times m$ Show source$...$ coulomb micrometer Show source$C \times \mu m$ C × µm Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit micrometer (1 μm).$1\ C \times \mu m = 10^{-6}\ C \times m$ Show source$...$ coulomb nanometer Show source$C \times nm$ C × nm Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit nanometer (1 nm).$1\ C \times nm = 10^{-9}\ C \times m$ Show source$...$ coulomb angstrom Show source$C \times \text{Å}$ C × Å Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit angstrem (1 Å).$1\ C \times \text{Å} = 10^{-10}\ C \times m$ Show source$...$ coulomb nanometer Show source$C \times pm$ C × pm Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit picometer (1 pm).$1\ C \times pm = 10^{-12}\ C \times m$ Show source$...$ coulomb femtometer Show source$C \times fm$ C × fm Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit femtometer (1 fm).$1\ C \times fm = 10^{-15}\ C \times m$ Show source$...$ coulomb attometer Show source$C \times am$ C × am Show source$\text{...}$ - The derived unit of dipole moment created by multiplying electric charge unit coulomb (1 C) and length unit attometer (1 am).$1\ C \times am = 10^{-18}\ C \times m$ Show source$...$

# Chemistry and atomic physics#

 Unit Symbol Symbol(plain text) Value as symbolic Value as numeric Notes Unit conversion formula debye Show source$D$ D Show source$\text{...}$ - Unit of dipole moment derived from the centimeter-gram-second system (CGS). One debye corresponds to a dipole moment occurring between two charges of one ten billionth franklin (10-10 Fr) separated by distance of one agstrem (1 Å). Although the CGS system has been displaced by SI units, the debye unit is still often used in atomic physics and to determine the dipole moment of chemical molecules. This fact has purely practical reasons, because most chemical molecules have a dipole moment within range 0-11 debyes.$1\ D = 10^{-10}\ Fr \cdot \text{Å} \approx 3.33564 \cdot 10^{−30}\ C\ \cdot m$ Show source$...$ atomic unit of electric dipole moment Show source$au$ au Show source$\text{...}$ - Unit of dipole moment often used in quantum-mechanical calculations. One atomic unit corresponds to a dipole moment between two elementary charges (e) spaced apart by a distance of one Bohr radius (a0).$1 au = e \cdot a_0 \approx 8.478 353 6255 \cdot 10^{-30}\ C \cdot m$ Show source$...$

# Some facts#

• The electric dipole moment for a system consisting of two or more point charges is defined as the below sum:
$\overrightarrow{p} = \sum_{i=1...n}{q_i \overrightarrow{r_i}}$
where:
• $\overrightarrow{p}$ - electric dipole moment of the whole system,
• $\overrightarrow{r_i}$ - a vector pointing to the i-th electric charge,
• $q_i$ - value of i-th charge,
• $n$ - number of charges in the system.
• Dipole moment is a vector.
• The dipole moment makes sense for neutral systems, i.e. where the sum of all charges is zero:
$\sum_{i=1...n}{q_i} = 0$
• The unit of electric dipole moment in SI system is coulomb times meter:
$C \cdot m$
• Another unit, used mainly by chemists and atomic physics, is 1 debye:
$1 D = 3,33564 \cdot 10^{-30} C \cdot m$
• If the system with the dipole moment $\overrightarrow{p}$ is introduced into the external electric field $\overrightarrow{E}$, then the moment of force will act on it is:
$\overrightarrow{M} = \overrightarrow{p} \times \overrightarrow{E}$
• Molecules with non-zero dipole moment are called polar. An example of such a molecule is water ($H_2O$).
• If the electric charges in the system are evenly distributed, then the dipole moment of such a system is zero. Examples of such systems are chemical molecules with a symmetrical structure such as carbon tetrachloride ($CCl_4$). Such molecules are called apolar or non-polar.

# How to convert#

• Enter the number to field "value" - enter the NUMBER only, no other words, symbols or unit names. You can use dot (.) or comma (,) to enter fractions.
Examples:
• 1000000
• 123,23
• 999.99999
• Find and select your starting unit in field "unit". Some unit calculators have huge number of different units to select from - it's just how complicated our world is...
• And... you got the result in the table below. You'll find several results for many different units - we show you all results we know at once. Just find the one you're looking for.