Ionic Radius of Element Solution

STEP 0: Pre-Calculation Summary
Formula Used
Ionic Radius = sqrt(Ionic Charge/Polarising Power)
rionic = sqrt(z/P)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Ionic Radius - (Measured in Meter) - The Ionic Radius is the radius of a monatomic ion in an ionic crystal structure.
Ionic Charge - (Measured in Coulomb) - The Ionic Charge is the electrical charge of an ion, created by the gain (negative charge) or loss (positive charge) of one or more electrons from an atom or group of atoms.
Polarising Power - (Measured in Watt) - Polarising Power can be defined as the ability of a cation to attract the electron cloud towards itself. Polarising power is proportional to charge/size.
STEP 1: Convert Input(s) to Base Unit
Ionic Charge: 2.1 Coulomb --> 2.1 Coulomb No Conversion Required
Polarising Power: 94 Watt --> 94 Watt No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rionic = sqrt(z/P) --> sqrt(2.1/94)
Evaluating ... ...
rionic = 0.149467138635604
STEP 3: Convert Result to Output's Unit
0.149467138635604 Meter -->1494671386.35604 Angstrom (Check conversion here)
FINAL ANSWER
1494671386.35604 1.5E+9 Angstrom <-- Ionic Radius
(Calculation completed in 00.004 seconds)

Credits

Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verified by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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19 Periodic Table and Periodicity Calculators

Wavelength of characteristic X-ray
Go Wavelength of X-ray = [c]/((Moseley Proportionality Constant^2)*((Atomic Number-Shielding Constant)^2))
Frequency of characteristic X-ray
Go X ray Frequency = (Moseley Proportionality Constant^2)*((Atomic Number-Shielding Constant)^2)
Bond energy of elements A and B
Go Bond energy in Kcal per mole = ((Electronegativity of Element A-Electronegativity of Element B)/0.208)^2
Ionization energy in KJ mole
Go Ionization Energy in KJmole = (Electronegativity*544)-Electron Affinity in KJmole
Electron Affinity in KJ mole
Go Electron Affinity in KJmole = (Electronegativity*544)-Ionization Energy in KJmole
Ionic Radius of Element
Go Ionic Radius = sqrt(Ionic Charge/Polarising Power)
Ionization energy given electronegativity
Go Ionization Energy = (Electronegativity*5.6)-Electron Affinity
Atomic radius given atomic volume
Go Atomic Radius = ((Atomic Volume*3)/(4*pi))^(1/3)
Ionic Charge of Element
Go Ionic Charge = Polarising Power*(Ionic Radius^2)
Polarizing Power
Go Polarising Power = Ionic Charge/(Ionic Radius^2)
Atomic Volume
Go Atomic Volume = (4/3)*pi*(Atomic Radius^3)
Pauling electronegativity given Mulliken electronegativity
Go Pauling's Electronegativity = Mulliken's Electronegativity/2.8
Relation between Mulliken and Pauling electronegativity
Go Mulliken's Electronegativity = Pauling's Electronegativity*2.8
Distance between two atoms of different molecules
Go Distance between Two Molecules = 2*Vander Waal radius
Vander Waal's radius
Go Vander Waal radius = Distance between Two Molecules/2
Distance between Two Covalently Bonded Atoms
Go Distance between Covalent Atoms = 2*Covalent Radius
Covalent radius
Go Covalent Radius = Distance between Covalent Atoms/2
Distance between two metal atoms
Go Distance between Two Atoms = 2*Crystal Radius
Crystal Radius
Go Crystal Radius = Distance between Two Atoms/2

Ionic Radius of Element Formula

Ionic Radius = sqrt(Ionic Charge/Polarising Power)
rionic = sqrt(z/P)

What is Polarizing power?

The ability of a cation to distort an anion is known as its polarization power and the tendency of the anion to become polarized by the cation is known as its polarizability.
The polarizing power and polarizability that enhances the formation of covalent bonds is favored by the following factors:
Small cation: the high polarizing power stems from the greater concentration of positive charge on a small area. This explains why Lithium Bromide is more covalent than Potassium Bromide (Li+ 90 pm cf. K+ 152 pm).
Large anion: the high polarizability stems from the larger size where the outer electrons are more loosely held and can be more easily distorted by the cation. This explains why for the common halides, iodides, are the most covalent in nature (I- 206 pm).
Large charges: as the charge on an ion increases, the electrostatic attractions of the cation for the outer electrons of the anion increases, resulting in the degree of covalent bond formation increasing.

How to Calculate Ionic Radius of Element?

Ionic Radius of Element calculator uses Ionic Radius = sqrt(Ionic Charge/Polarising Power) to calculate the Ionic Radius, The Ionic radius of element formula is defined as the radius of a monatomic ion in an ionic crystal structure of a molecule. Ionic Radius is denoted by rionic symbol.

How to calculate Ionic Radius of Element using this online calculator? To use this online calculator for Ionic Radius of Element, enter Ionic Charge (z) & Polarising Power (P) and hit the calculate button. Here is how the Ionic Radius of Element calculation can be explained with given input values -> 1.5E+19 = sqrt(2.1/94).

FAQ

What is Ionic Radius of Element?
The Ionic radius of element formula is defined as the radius of a monatomic ion in an ionic crystal structure of a molecule and is represented as rionic = sqrt(z/P) or Ionic Radius = sqrt(Ionic Charge/Polarising Power). The Ionic Charge is the electrical charge of an ion, created by the gain (negative charge) or loss (positive charge) of one or more electrons from an atom or group of atoms & Polarising Power can be defined as the ability of a cation to attract the electron cloud towards itself. Polarising power is proportional to charge/size.
How to calculate Ionic Radius of Element?
The Ionic radius of element formula is defined as the radius of a monatomic ion in an ionic crystal structure of a molecule is calculated using Ionic Radius = sqrt(Ionic Charge/Polarising Power). To calculate Ionic Radius of Element, you need Ionic Charge (z) & Polarising Power (P). With our tool, you need to enter the respective value for Ionic Charge & Polarising Power and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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