Yukawa Potential Function
Enter the Number( x)
*r
0
Find Yukawa Potential
*U
0
Find Yukawa Force
*F
0
Find Gauss Potential
*U'
0
Find Gauss Force
*F'
0
Find Exponential Potential
*U''
0
Find Exponential Force
*F''
0
Find U(ratio): U
n
/U
0
(Yukawa)
Find F(ratio): F
n
/F
0
(Yukawa)
Find Multiplier(Yukawa)
Find U(ratio): U'
n
/U'
0
(Gauss)
Find F(ratio): F'
n
/F'
0
(Gauss)
Find Multiplier(Gauss)
Find U(ratio): U''
n
/U''
0
(Exponential)
Find F(ratio): F''
n
/F''
0
(Exponential)
Find Multiplier(Exponential)
Yukawa Potential U
n
=U
0
( r
0
/r
n
)* 1/e^(r
n
/r
0
- 1 ) Yukawa Force =F
0
( r
0
[r
0
+r
n
]/2(r
n
)
2
) * 1/e^(r
n
/r
0
- 1) F
n
/F
0
=U
n
/U
0
*multiplier Multiplier=[ 1+r
0
/r
n
] /2 Gauss Potential U'
n
=U'
0
e^(1 - (r
n
/r
0
)²) Gauss Force =F'
0
e^(1 - (r
n
/r
0
)² F'
n
/F'
0
=U'
n
/U'
0
*multiplier Multiplier=[r
n
/r
0
] Exponential Potential U''
n
=U''
0
e^2(1 -r
n
/r
0
) Exponential Force = F''
0
e^2(1 -r
n
/r
0
) F''
n
/F''
0
=U''
n
/U''
0
*multiplier multiplier=1