Pressure Inside Grain Calculator

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Size Effects on Structure and Morphology of Free or Supported Nanoparticles

Electronic Structure in Clusters and Nanoparticles

Mechanical and Nanomechanical Properties

Optical Properties of Metallic Nanoparticles

✖External Pressure of Grain is a measure of the amount of pressure acting on the surface of the grain from outside.ⓘ External Pressure of Grain [P_e]			+10% -10%
✖The Specific Surface Energy is the ratio of the required work to the surface area of the object.ⓘ Specific Surface Energy [γ]			+10% -10%
✖Size of Grain is the size of the individual constituent particles of the material being studued.ⓘ Size of Grain [Φ]			+10% -10%

✖Inside pressure of Grain is a measure of how the internal energy of a system changes with the changes in external pressure, surface energy and grain size.ⓘ Pressure Inside Grain [P_i]

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Formula

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Pressure Inside Grain

Formula

`"P"_{"i"} = "P"_{"e"}+(4*"γ")/"Φ"`

Example

`"2E^9Pa"="20Pa"+(4*"50J/m²")/"100nm"`

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Pressure Inside Grain Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inside pressure of Grain = External Pressure of Grain+(4*Specific Surface Energy)/Size of Grain
P_i = P_e+(4*γ)/Φ
This formula uses 4 Variables

Variables Used

Inside pressure of Grain - (Measured in Pascal) - Inside pressure of Grain is a measure of how the internal energy of a system changes with the changes in external pressure, surface energy and grain size.
External Pressure of Grain - (Measured in Pascal) - External Pressure of Grain is a measure of the amount of pressure acting on the surface of the grain from outside.
Specific Surface Energy - (Measured in Joule per Square Meter) - The Specific Surface Energy is the ratio of the required work to the surface area of the object.
Size of Grain - (Measured in Meter) - Size of Grain is the size of the individual constituent particles of the material being studued.

STEP 1: Convert Input(s) to Base Unit

External Pressure of Grain: 20 Pascal --> 20 Pascal No Conversion Required
Specific Surface Energy: 50 Joule per Square Meter --> 50 Joule per Square Meter No Conversion Required
Size of Grain: 100 Nanometer --> 1E-07 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_i = P_e+(4*γ)/Φ --> 20+(4*50)/1E-07

Evaluating ... ...

P_i = 2000000020

STEP 3: Convert Result to Output's Unit

2000000020 Pascal --> No Conversion Required

FINAL ANSWER

2000000020 ≈ 2E+9 Pascal <-- Inside pressure of Grain

(Calculation completed in 00.004 seconds)

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Created by Abhijit gharphalia

national institute of technology meghalaya (NIT Meghalaya), Shillong

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National University of Judicial Science (NUJS), Kolkata

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< 6 Size Effects on Structure and Morphology of Free or Supported Nanoparticles Calculators

Generalized Free Energy using Surface Energy and Volume

Go Generalized Free Enthalpy = Free Enthalpy-(2*Specific Surface Energy*Molar Volume)/Radius of Liquid Sphere

Pressure Inside Grain

Go Inside pressure of Grain = External Pressure of Grain+(4*Specific Surface Energy)/Size of Grain

Specific Surface Energy using Pressure, Volume Change and Area

Go Specific Surface Energy = (Excess pressure*Volume change)/Surface Area of Object

Excess Pressure using Surface Energy and Radius

Go Excess pressure = (2*Specific Surface Energy)/Radius of Liquid Sphere

Specific Surface Energy using Work for Nanoparticles

Go Specific Surface Energy = Required Work/Surface Area of Object

Surface Stress using Work

Go Surface Stress = Required Work/Surface Area of Object

Pressure Inside Grain Formula

Inside pressure of Grain = External Pressure of Grain+(4*Specific Surface Energy)/Size of Grain
P_i = P_e+(4*γ)/Φ

What is lattice parameter?

The lattice parameter is a physical dimension and angle that determines the geometry of unit cells in a crystal lattice. It is proportional to the distance between atoms in the crystal. A simple cubic crystal has only one lattice constant, while in general lattices in three dimensions have six lattice constants: the lengths a, b, and c of the three cell edges meeting at a vertex, and the angles,, and between those edges.

How to Calculate Pressure Inside Grain?

Pressure Inside Grain calculator uses Inside pressure of Grain = External Pressure of Grain+(4*Specific Surface Energy)/Size of Grain to calculate the Inside pressure of Grain, The Pressure Inside Grain formula is defined as a measure of how the internal energy of a system changes with the changes in external pressure, surface energy and grain size. Inside pressure of Grain is denoted by P_i symbol.

How to calculate Pressure Inside Grain using this online calculator? To use this online calculator for Pressure Inside Grain, enter External Pressure of Grain (P_e), Specific Surface Energy (γ) & Size of Grain (Φ) and hit the calculate button. Here is how the Pressure Inside Grain calculation can be explained with given input values -> 2E+8 = 20+(4*50)/1E-07.

FAQ

What is Pressure Inside Grain?

The Pressure Inside Grain formula is defined as a measure of how the internal energy of a system changes with the changes in external pressure, surface energy and grain size and is represented as P_i = P_e+(4*γ)/Φ or Inside pressure of Grain = External Pressure of Grain+(4*Specific Surface Energy)/Size of Grain. External Pressure of Grain is a measure of the amount of pressure acting on the surface of the grain from outside, The Specific Surface Energy is the ratio of the required work to the surface area of the object & Size of Grain is the size of the individual constituent particles of the material being studued.

How to calculate Pressure Inside Grain?

The Pressure Inside Grain formula is defined as a measure of how the internal energy of a system changes with the changes in external pressure, surface energy and grain size is calculated using Inside pressure of Grain = External Pressure of Grain+(4*Specific Surface Energy)/Size of Grain. To calculate Pressure Inside Grain, you need External Pressure of Grain (P_e), Specific Surface Energy (γ) & Size of Grain (Φ). With our tool, you need to enter the respective value for External Pressure of Grain, Specific Surface Energy & Size of Grain 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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