Lightning Orb
Legendary25% chance to summon lightning when hitting enemies. Lightning can now stun enemies.
Scaling Type:
Hyperbolic scaling for proc chance and stun chance (capped at 90%)
Linear scaling for lightning damage multiplier
Fixed 3.0s stun duration (can not be increased from multiple copies)
Detailed Explanation
Lightning Orb gives your attacks a chance to summon lightning that strikes enemies.
How it works:
- When you hit an enemy, Lightning Orb has a chance to trigger
- When it procs, it finds all enemies within a 40-unit radius around you
- It randomly selects one enemy from that list and strikes them with lightning
- The lightning strike deals damage based on your hit damage
- Lightning strikes can also stun the target enemy
Lightning damage formula:
The lightning strike deals:
Where
- $ n $ = number of Lightning Orb copies
- HitDamage = the damage from the attack that triggered it
Stun mechanics:
- Lightning strikes have a chance to stun the target enemy
- Stun duration: 3.0 seconds (fixed, does not scale with more copies. Can be increased from getting your duration multiplier higher though)
- If your attack already deals lightning damage, it can also stun with the stun chance (example: lightning staff)
How it works:
- When you hit an enemy, Lightning Orb has a chance to trigger
- When it procs, it finds all enemies within a 40-unit radius around you
- It randomly selects one enemy from that list and strikes them with lightning
- The lightning strike deals damage based on your hit damage
- Lightning strikes can also stun the target enemy
Lightning damage formula:
The lightning strike deals:
$$
\text{LightningDamage}(n) = 0.4n \times \text{HitDamage}
$$
Where
- $ n $ = number of Lightning Orb copies
- HitDamage = the damage from the attack that triggered it
Stun mechanics:
- Lightning strikes have a chance to stun the target enemy
- Stun duration: 3.0 seconds (fixed, does not scale with more copies. Can be increased from getting your duration multiplier higher though)
- If your attack already deals lightning damage, it can also stun with the stun chance (example: lightning staff)
How it Stacks
Lightning Orb has three scaling stats:
The chance to summon lightning uses hyperbolic scaling:
Where $ n $ = number of Lightning Orb copies
Examples:
- 1 copy → ~26.47% proc chance (not 25% as description suggests)
- 2 copies → ~42.86% proc chance
- 3 copies → ~52.94% proc chance
- 5 copies → ~65.22% proc chance
- 10 copies → ~78.95% proc chance
Note: The proc chance approaches 90% asymptotically but never reaches it. The cap is 90%, not 100%.
The chance to stun enemies uses hyperbolic scaling:
Where $ n $ = number of Lightning Orb copies
Examples:
- 1 copy → ~26.47% stun chance
- 2 copies → ~42.86% stun chance
- 3 copies → ~52.94% stun chance
- 5 copies → ~65.22% stun chance
- 10 copies → ~78.95% stun chance
Note: The stun chance approaches 90% asymptotically but never reaches it. The cap is 90%, not 100%.
Each copy increases the lightning damage multiplier linearly:
Where $ n $ = number of Lightning Orb copies
Examples:
- 1 copy → 0.4× damage (40% of hit damage)
- 2 copies → 0.8× damage (80% of hit damage)
- 3 copies → 1.2× damage (120% of hit damage)
- 5 copies → 2.0× damage (200% of hit damage)
- Lightning strike radius: Always 40.0 units (does not scale with copies)
- Stun duration: Always 3.0 seconds (does not scale with copies - duration does increase if you increase your duration multiplier though)
1. Lightning Proc Chance (Hyperbolic Scaling)
The chance to summon lightning uses hyperbolic scaling:
$$
\text{ProcChance}(n) = \frac{0.25n}{0.25n + 0.6} \times 0.9
$$
Where $ n $ = number of Lightning Orb copies
Examples:
- 1 copy → ~26.47% proc chance (not 25% as description suggests)
- 2 copies → ~42.86% proc chance
- 3 copies → ~52.94% proc chance
- 5 copies → ~65.22% proc chance
- 10 copies → ~78.95% proc chance
Note: The proc chance approaches 90% asymptotically but never reaches it. The cap is 90%, not 100%.
2. Stun Chance (Hyperbolic Scaling)
The chance to stun enemies uses hyperbolic scaling:
$$
\text{StunChance}(n) = \frac{0.25n}{0.25n + 0.6} \times 0.9
$$
Where $ n $ = number of Lightning Orb copies
Examples:
- 1 copy → ~26.47% stun chance
- 2 copies → ~42.86% stun chance
- 3 copies → ~52.94% stun chance
- 5 copies → ~65.22% stun chance
- 10 copies → ~78.95% stun chance
Note: The stun chance approaches 90% asymptotically but never reaches it. The cap is 90%, not 100%.
3. Lightning Damage Multiplier (Linear Scaling)
Each copy increases the lightning damage multiplier linearly:
$$
\text{DamageRatio}(n) = 0.4n
$$
Where $ n $ = number of Lightning Orb copies
Examples:
- 1 copy → 0.4× damage (40% of hit damage)
- 2 copies → 0.8× damage (80% of hit damage)
- 3 copies → 1.2× damage (120% of hit damage)
- 5 copies → 2.0× damage (200% of hit damage)
4. Fixed Values
- Lightning strike radius: Always 40.0 units (does not scale with copies)
- Stun duration: Always 3.0 seconds (does not scale with copies - duration does increase if you increase your duration multiplier though)