Difference between revisions of "Crystal damage"

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Combat (laser) crystals and mining crystals in EVE Online may receive "damage" and eventually be consumed (or in common terms, ''shatter''). This crystals have a Hit Point value much like any other destructible object, and shattering occurs when enough damage is taken by the crystal to lower its hit points to zero. The life expectancy of a given crystal, i.e. the average amount of time it may be used before it shatters, may be calculated from its attributes.  
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Frequency Crystals (used by [[Turrets#Energy_Turrets|laser turrets]]), and [[ORE Basic Ship and Skill Overview#Mining_crystals|Mining Crystals]], used by modulated mining modules <ref group=Note name=modulated /> in EVE Online may receive "damage" and eventually be consumed (or in common terms, ''shatter''). These crystals have a hitpoint value much like any other destructible object, and shattering occurs when enough damage is taken by the crystal to lower its hitpoints to zero. The life expectancy of a given crystal, i.e. the average amount of time it may be used before it shatters, may be calculated from its attributes.  
  
= Calculating Crystal Life Expectancy  =
+
As with most transportable objects in EVE Online, one may right-click a combat or mining crystal and choose Show Info. The information in which we are interested is within the Attributes tab of the Show Info window.
  
As with most transportable objects in EVE Online, one may right-click a combat or mining crystal and choose Show Info. The information in which we are interested are within the Attributes tab of the Show Info window.  
+
== Attributes ==
 +
[[Image:ShowInfo-Simple Asteroid Mining Crystal Type A I.png|thumb]]
 +
Four attributes affect the life expectancy of a crystal. These attributes function identically for both combat and mining crystals.  
  
== Attributes  ==
+
=== Structure Hitpoints ===
 +
This is the total hitpoints of the crystal. All crystals in the game have exactly 1 HP.
  
There are four different attributes that affect the life expectancy of a crystal. These attributes function identically for both combat and mining crystals.  
+
=== Volatility ===
 +
This attribute is the chance of the crystal taking damage upon every activation cycle. For example, a Volatility of 10% would mean that for each activation cycle the crystal has a 10% (1 in 10) chance of receiving damage. The actual amount of damage is fixed and is given by the '''Volatility Damage''' attribute.
  
[[Image:ShowInfo PlagioclaseMiningCrystal1.jpg|thumb|left]]
+
Some combat crystals (Faction) have a 100% chance of damage per shot. It also means that the life expectancy of these combat crystals may be calculated exactly because every shot will always damage the crystal, i.e. a 100% chance of crystal damage inflicted per shot.
  
=== Structure Hitpoints ===
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=== Volatility Damage ===
 +
This is the actual amount of damage the crystal may receive during an activation cycle based upon its Volatility.
 +
 
 +
=== Crystals Take Damage ===
 +
This attribute is always either True or False. If it is True, then the crystal takes damage based upon the other attributes above, and it will eventually shatter.
 +
 
 +
The only crystals in the game whose <em>Crystals Take Damage</em> value is False are the Tech 1 combat crystals. These will never take damage and thus they may be used indefinitely. Note that if the value of this attribute is False, then it will not even be listed in the Attributes tab of the Show Info window.
 +
 
 +
=== Activation Cycles ===
 +
In terms of Volatility, an Activation Cycle is a single cycled use of a crystal by the turret within which it is loaded. With combat crystals, each time the energy weapon is fired is considered one cycle.
 +
 
 +
With mining crystals, a cycle may begin with the activation of the mining laser and may end with either the deactivation of the laser or the acquisition of materials (ore or ice). This means that a cycle is completed even if a mining laser is turned off early. Repeatedly turning a mining laser on and off will risk damaging the crystal whether or not any actual materials were mined.
 +
 
 +
== Formula ==
 +
The formula for determining <em>average</em> life expectancy of a crystal is simple:
 +
: <math>\text{Life Expectancy (in cycles)} = \text{Structure Hitpoints} / \text{Volatility} / \text{Volatility Damage}</math>
 +
 
 +
If the volatility of the crystal is 0%, the value of the <em>Crystals Take Damage</em> attribute is False since the value obtained by the formula would be undefined; this only applies to Tech 1 combat crystals.
 +
 
 +
For mining crystals and Tech 2 combat crystals, one may then multiply the expected cycles by the cycle time to calculate a crystal's life expectancy over time. Remember that Volatility is a percentage, so for example, a crystal with a Volatility of 10% must use the value 0.10 in the equation.
 +
 
 +
== Examples ==
 +
As the volatility damage is chance-based the following numbers are <em>only</em> an indication.
 +
 
 +
The Simple Asteroid Mining Crystal Type A I has a Volatility of 10%, which means that for every cycle there is a 10% chance that it will receive damage. The amount of damage it receives will be the Volatility Damage value of 0.05 HP. It will shatter when its total damage reaches the Structure Hitpoints value of 1 HP.
 +
 
 +
This means that, on the average, the crystal has a life expectancy of <math>1 / 0.10 / 0.05 = 200</math> cycles. With a standard (unbonused) strip mining cycle time of 180 seconds, one may estimate that a crystal will endure approximately 36,000 seconds, or 10 hours, of constant mining before shattering.
 +
 
 +
 
 +
The Simple Asteroid Mining Crystal Type A II has a Volatility of 12%. It has the same 0.05 HP Volatility Damage and 1 HP Structure Hitpoints as the Tech I variant. As a result, the crystal has a life expectancy of <math>1 / 0.12 / 0.05 = 166</math> cycles, about 8 hours.
 +
 
 +
However, a ship using these crystals will likely not be operating unbonused; it will likely be flying with significant improvements to its mining cycle time. So, while an unbonused strip miner cycle takes 180 seconds and a Tech II A type crystal would last around 8 hours, strip miners fitted to a max-skilled [[Hulk]] <ref group=Note name=Hulk />, enhanced by a Mining Laser Optimization Charge from a [[Rorqual]] <ref group= Note name=Rorqual />, can cycle in as little as ~73 seconds, thus reducing the crystals lifespan to a mere 141 minutes.
 +
 
 +
{{CollapseBox|The math for strip miner duration reduction
 +
|Only using a [[Hulk]] <ref group=Note name=Hulk /> with all relevant skills to level V.
 +
* Role bonus for the Hulk - 15% strip miner duration reduction.
 +
* Skill bonus for {{Sk|Exhumers|icon= yes}} - 3% strip miner duration reduction per level.
  
This is the total Hit Points of the crystal. Currently, all crystals in the game have exactly 1 HP.
 
  
=== Volatility  ===
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: <math>\text{duration} = \text{base duration} \times ( 1- \text{Hulk Role bonus}) \times (1-(\text{Exhumers skill bonus} \times \text{level}) )</math>
 +
:: <math>180 \times (1-0.15) \times (1-(0.03 \times 5) )</math>
 +
:: <math>180 \times (1-0.15) \times (1-0.15)</math>
 +
:: <math>180 \times 0.85 \times 0.85 = 130.05 \text{ seconds}</math>
  
This attribute is the chance of the crystal taking damage upon every activation cycle, and it is shown as a percentage. One must be cautious to interpret the value correctly because it is displayed incorrectly. For example, a Volatility of "0.1&nbsp;%" is actually 10%, meaning that each activation cycle the crystal has a 10% (1 in 10) chance of receiving damage. Likewise, a "0.2&nbsp;%" Volatility is actually 20%, etc.
 
  
===== Activation Cycles  =====
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Using the Hulk above and a boosting [[Rorqual]] <ref group= Note name=Rorqual /> using a Tech 2 Mining Foreman Boost and Mining Foreman Mindlink with all relevant skills to level V.
 +
* Mining Foreman Burst with Mining Laser Optimization Charge - 15% strip miner duration reduction.
 +
: The Mining Laser Optimization Charge (MLOC) bonus has its own bonuses<ref group=Note name=MFB />:
 +
* Using a Mining Foreman Boost II (MFB II) - 25% bonus to the effect strength of charges launched
 +
* Using a Mining Foreman Mindlink (MFM) - 25% bonus to Mining Foreman Burst strength and duration
 +
* Skill bonus for {{Sk|Mining Director|icon= yes}} (MD) - 10% bonus to the strength of Mining Foreman Burst effects per level.
 +
* Skill bonus for {{Sk|Capital Industrial Ships|icon= yes}} (CIS) - 5% Mining Foreman Burst effect increase per level. (Ship bonus)
  
In terms of Volatility, an Activation Cycle is a single cycled use of a laser crystal by the turret within which it is loaded. With combat crystals, each time the energy weapon is fired is considered one cycle.
 
  
With mining crystals, a cycle may begin with the activation of the mining laser and may end with either the deactivation of the laser or the acquisition of materials (ore or ice). This means that a cycle is completed even if a mining laser is turned off early. Repeatedly turning a mining laser on and off will risk damaging the crystal whether or not any actual materials were mined.  
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: <math> {\color{blue} \text{MLOC bonus} } = \text{base MLOC bonus} \times (1+ \text{MFB II bonus}) \times (1+ \text{MFM bonus}) \times (1 + (\text{MD skill bonus} \times \text{level}) ) \times (1 + (\text{CIS skill bonus} \times \text{level})</math>
 +
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ (0.1 \times 5) \times (1+ (0.05 \times 5)</math>
 +
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ 0.5) \times (1+ 0.25)</math>
 +
:: <math>15 \times 1.25 \times 1.25 \times 1.5 \times 1.25 = 43.9453125\%</math>
 +
: The bonus can be even further increased by using an [[Industrial Core]]
  
=== Volatility Damage  ===
 
  
This is the actual amount of damage the crystal may receive during an activation cycle based upon its Volatility.  
+
: <math>\text{duration} = \text{base duration} \times (1- \text{Hulk Role bonus}) \times (1-(\text{Exhumers skill bonus} \times \text{level}) \times (1- {\color{blue} \text{Mining Laser Optimization Charge bonus} } )</math>
 +
:: <math>180 \times (1-0.15) \times (1-(0.03 \times 5) \times (1-0.439453125)</math>
 +
:: <math>180 \times 0.85 \times 0.85 \times 0.560546875 = 72.89912109375 \text{ seconds}</math>
 +
}}
 +
 
 +
 
 +
However, to compensate, if further enhanced by a Mining Equipment Preservation Charge, the crystals' volatility can be reduced by up to ~44%, resulting in a new life expectancy of <math>1 / 0.067 / 0.05 = 298</math> cycles, which at ~73 seconds per cycle comes out to ~21,754 seconds, or ~6 hours of constant mining before shattering.
 +
 
 +
{{CollapseBox|The math for crystal volatility reduction
 +
|Using a Tech 2 Mining Foreman Boost and all relevant skills to V.
 +
* Mining Foreman Burst with Mining Equipment Preservation Charge - 15% volatility reduction.
 +
: The Mining Equipment Preservation Charge (MEPC) bonus has its own bonuses<ref group=Note name=MFB />:
 +
* Using a Mining Foreman Boost II (MFB II) - 25% bonus to the effect strength of charges launched
 +
* Using a Mining Foreman Mindlink (MFM) - 25% bonus to Mining Foreman Burst strength and duration
 +
* Skill bonus for {{Sk|Mining Director|icon= yes}} (MD) - 10% bonus to the strength of Mining Foreman Burst effects per level.
 +
* Skill bonus for {{Sk|Capital Industrial Ships|icon= yes}} (CIS) - 5% Mining Foreman Burst effect increase per level. (Ship bonus)
 +
 
 +
 
 +
: <math> {\color{blue} \text{MEPC bonus} } = \text{base MEPC bonus} \times (1+ \text{MFB II bonus}) \times (1+ \text{MFM bonus}) \times (1 + (\text{MD skill bonus} \times \text{level}) ) \times (1 + (\text{CIS skill bonus} \times \text{level})</math>
 +
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ (0.1 \times 5) \times (1+ (0.05 \times 5)</math>
 +
:: <math>15 \times (1+0.25) \times (1+0.25) \times (1+ 0.5) \times (1+ 0.25)</math>
 +
:: <math>15 \times 1.25 \times 1.25 \times 1.5 \times 1.25 = 43.9453125\%</math>
 +
: The bonus can be even further increased by using an [[Industrial Core]]
 +
 
  
=== Crystals Take Damage  ===
+
For a Simple Asteroid Mining Crystal Type A II
 +
: <math>\text{base volatility} \times (1- {\color{blue} \text{Mining Equipment Preservation Charge bonus} } )</math>
 +
:: <math>12 \times (1- 0.439453125)</math>
 +
:: <math>12 \times 0.560546875 = 6.7265625\%</math>
 +
}}
  
This attribute is always either True or False. If it is True, then the crystal actually takes damage based upon the other attributes above, and it will eventually shatter.
 
  
Currently, the only crystals in the game whose Crystals Take Damage value is False are the Tech-1 combat crystals. These will never take damage and thus they may be used indefinitely. Note that if the value of this attribute is False, then it will not even be listed in the Attributes tab of the Show Info window.  
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{{Note|Keep in mind that the damage is chance-based. So in a (theoretical) worst-case scenario, a crystal could take damage at each use. Effectively making the Volatility 100%, taking it out of the calculation. Resulting in 20 cycles for a mining crystal (<math>1 / 0.05 = 20</math>).}}
  
== Formula  ==
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== Quick reference ==
 +
{| class="wikitable"
 +
|-
 +
! Crystal Type !! Tech !! Volatility !! Volatility Damage !! Expected Cycles
 +
|-
 +
| Frequency Crystals || Tech I || 0% || 0 HP || (Infinite)<ref group=Note name=T1Crystal />
 +
|-
 +
| Frequency Crystals || [[Tech and meta levels#Faction Ammunition|Faction]] || 100% || 0.00025HP || 4000
 +
|-
 +
| Frequency Crystals || Tech II || 10% || 0.01HP || ~1000
 +
|-
 +
| Mining Crystals Type A || Tech I || 10% || 0.05HP || ~200
 +
|-
 +
| Mining Crystals Type A || Tech II || 12% || 0.05HP || ~166
 +
|-
 +
| Mining Crystals Type B || Tech I || 15% || 0.05HP || ~133
 +
|-
 +
| Mining Crystals Type B || Tech II || 19.6% || 0.05HP || ~102
 +
|-
 +
| Mining Crystals Type C || Tech I || 24% || 0.05HP || ~83
 +
|-
 +
| Mining Crystals Type C || Tech II || 30% || 0.05HP || ~66
 +
|}
  
The formula for determining average life expectancy of a crystal is simple:
+
== Notes ==
 +
<references group=Note>
 +
<ref name=modulated>Tech 2 modules with "Modulated" in the name:
 +
* Modulated Strip Miner II
 +
* Modulated Deep Core Miner II
 +
* Modulated Deep Core Strip Miner II</ref>
  
<blockquote>'''Life Expectancy (in cycles) = Structure Hitpoints / Volatility / Volatility Damage''' </blockquote>
+
<ref name=Hulk>Applicable bonuses for the Hulk:
 +
* Role bonus: 15% reduction in Strip Miner duration
 +
* {{Sk|Exhumers}} bonus: 3% reduction in Strip Miner duration per level</ref>
  
One may then multiply the expected cycles by the cycle time to calculate a crystal's life expectancy over time.
+
<ref name=Rorqual>Applicable bonuses for the Rorqual:
 +
* Mining Foreman Burst
 +
** {{Sk|Capital Industrial Ships|icon= yes}} bonus: 5% bonus to Mining Foreman Burst effects strength and duration per level (Ship bonus)
 +
** {{Sk|Mining Director|icon= yes}} - 10% bonus to the strength of Mining Foreman Burst effects per level.
 +
** [[Command Bursts|Mining Foreman Burst II]] - 25% bonus to the effect strength of charges launched
 +
** [[Command_Bursts#Command_Mindlink_implants|Mining Foreman Mindlink]] - 25% bonus to Mining Foreman Burst strength and duration
 +
** [[Industrial Core]] - Tech I 30%, Tech II 36% bonus to Mining Foreman Burst strength
 +
**  Mining Foreman Burst charges
 +
*** Mining Laser Optimization Charge: 15% reduction in Strip Miner duration
 +
*** Mining Equipment Preservation charge: 15% reduction in the Crystal Volatility</ref>
  
==== Example ====
+
<ref name=MFB>For the formula see: [[Command_Bursts#Calculating_Command_Burst_bonuses|Calculating Command Burst bonuses]]</ref>
  
The Plagioclase Mining Crystal I has a Volatility of 0.1%, which means that for every cycle there is a 10% chance that it will receive damage. The amount of damage it receives will be the Volatility Damage value of 0.025 HP. It will shatter when its total damage reaches the Structure Hitpoints value of 1 HP.  
+
<ref name=T1Crystal>These crystals take no damage as the Crystal Takes Damage value is false due to the crystals having a volatility value of 0%, which would render the value of the formula undefined.</ref>
 +
</references>
  
This means that, on the average, the crystal has a life expectancy of 1 / 0.10 / 0.025 = 400 cycles.  With a standard (unbonused) strip mining cycle time of 180 seconds, one may estimate that a crystal will endure approximately 20 hours of constant mining before shattering.
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[[Category:Mining]]
 +
[[Category:Weapons]]

Latest revision as of 13:55, 23 November 2024

Frequency Crystals (used by laser turrets), and Mining Crystals, used by modulated mining modules [Note 1] in EVE Online may receive "damage" and eventually be consumed (or in common terms, shatter). These crystals have a hitpoint value much like any other destructible object, and shattering occurs when enough damage is taken by the crystal to lower its hitpoints to zero. The life expectancy of a given crystal, i.e. the average amount of time it may be used before it shatters, may be calculated from its attributes.

As with most transportable objects in EVE Online, one may right-click a combat or mining crystal and choose Show Info. The information in which we are interested is within the Attributes tab of the Show Info window.

Attributes

ShowInfo-Simple Asteroid Mining Crystal Type A I.png

Four attributes affect the life expectancy of a crystal. These attributes function identically for both combat and mining crystals.

Structure Hitpoints

This is the total hitpoints of the crystal. All crystals in the game have exactly 1 HP.

Volatility

This attribute is the chance of the crystal taking damage upon every activation cycle. For example, a Volatility of 10% would mean that for each activation cycle the crystal has a 10% (1 in 10) chance of receiving damage. The actual amount of damage is fixed and is given by the Volatility Damage attribute.

Some combat crystals (Faction) have a 100% chance of damage per shot. It also means that the life expectancy of these combat crystals may be calculated exactly because every shot will always damage the crystal, i.e. a 100% chance of crystal damage inflicted per shot.

Volatility Damage

This is the actual amount of damage the crystal may receive during an activation cycle based upon its Volatility.

Crystals Take Damage

This attribute is always either True or False. If it is True, then the crystal takes damage based upon the other attributes above, and it will eventually shatter.

The only crystals in the game whose Crystals Take Damage value is False are the Tech 1 combat crystals. These will never take damage and thus they may be used indefinitely. Note that if the value of this attribute is False, then it will not even be listed in the Attributes tab of the Show Info window.

Activation Cycles

In terms of Volatility, an Activation Cycle is a single cycled use of a crystal by the turret within which it is loaded. With combat crystals, each time the energy weapon is fired is considered one cycle.

With mining crystals, a cycle may begin with the activation of the mining laser and may end with either the deactivation of the laser or the acquisition of materials (ore or ice). This means that a cycle is completed even if a mining laser is turned off early. Repeatedly turning a mining laser on and off will risk damaging the crystal whether or not any actual materials were mined.

Formula

The formula for determining average life expectancy of a crystal is simple:

[math]\text{Life Expectancy (in cycles)} = \text{Structure Hitpoints} / \text{Volatility} / \text{Volatility Damage}[/math]

If the volatility of the crystal is 0%, the value of the Crystals Take Damage attribute is False since the value obtained by the formula would be undefined; this only applies to Tech 1 combat crystals.

For mining crystals and Tech 2 combat crystals, one may then multiply the expected cycles by the cycle time to calculate a crystal's life expectancy over time. Remember that Volatility is a percentage, so for example, a crystal with a Volatility of 10% must use the value 0.10 in the equation.

Examples

As the volatility damage is chance-based the following numbers are only an indication.

The Simple Asteroid Mining Crystal Type A I has a Volatility of 10%, which means that for every cycle there is a 10% chance that it will receive damage. The amount of damage it receives will be the Volatility Damage value of 0.05 HP. It will shatter when its total damage reaches the Structure Hitpoints value of 1 HP.

This means that, on the average, the crystal has a life expectancy of [math]1 / 0.10 / 0.05 = 200[/math] cycles. With a standard (unbonused) strip mining cycle time of 180 seconds, one may estimate that a crystal will endure approximately 36,000 seconds, or 10 hours, of constant mining before shattering.


The Simple Asteroid Mining Crystal Type A II has a Volatility of 12%. It has the same 0.05 HP Volatility Damage and 1 HP Structure Hitpoints as the Tech I variant. As a result, the crystal has a life expectancy of [math]1 / 0.12 / 0.05 = 166[/math] cycles, about 8 hours.

However, a ship using these crystals will likely not be operating unbonused; it will likely be flying with significant improvements to its mining cycle time. So, while an unbonused strip miner cycle takes 180 seconds and a Tech II A type crystal would last around 8 hours, strip miners fitted to a max-skilled Hulk [Note 2], enhanced by a Mining Laser Optimization Charge from a Rorqual [Note 3], can cycle in as little as ~73 seconds, thus reducing the crystals lifespan to a mere 141 minutes.


However, to compensate, if further enhanced by a Mining Equipment Preservation Charge, the crystals' volatility can be reduced by up to ~44%, resulting in a new life expectancy of [math]1 / 0.067 / 0.05 = 298[/math] cycles, which at ~73 seconds per cycle comes out to ~21,754 seconds, or ~6 hours of constant mining before shattering.


Icon information square.png Note: Keep in mind that the damage is chance-based. So in a (theoretical) worst-case scenario, a crystal could take damage at each use. Effectively making the Volatility 100%, taking it out of the calculation. Resulting in 20 cycles for a mining crystal ([math]1 / 0.05 = 20[/math]).

Quick reference

Crystal Type Tech Volatility Volatility Damage Expected Cycles
Frequency Crystals Tech I 0% 0 HP (Infinite)[Note 5]
Frequency Crystals Faction 100% 0.00025HP 4000
Frequency Crystals Tech II 10% 0.01HP ~1000
Mining Crystals Type A Tech I 10% 0.05HP ~200
Mining Crystals Type A Tech II 12% 0.05HP ~166
Mining Crystals Type B Tech I 15% 0.05HP ~133
Mining Crystals Type B Tech II 19.6% 0.05HP ~102
Mining Crystals Type C Tech I 24% 0.05HP ~83
Mining Crystals Type C Tech II 30% 0.05HP ~66

Notes

  1. ^ Tech 2 modules with "Modulated" in the name:
    • Modulated Strip Miner II
    • Modulated Deep Core Miner II
    • Modulated Deep Core Strip Miner II
  2. ^ a b Applicable bonuses for the Hulk:
    • Role bonus: 15% reduction in Strip Miner duration
    • Exhumers bonus: 3% reduction in Strip Miner duration per level
  3. ^ a b Applicable bonuses for the Rorqual:
    • Mining Foreman Burst
      • Icon skillbook2.png Capital Industrial Ships bonus: 5% bonus to Mining Foreman Burst effects strength and duration per level (Ship bonus)
      • Icon skillbook2.png Mining Director - 10% bonus to the strength of Mining Foreman Burst effects per level.
      • Mining Foreman Burst II - 25% bonus to the effect strength of charges launched
      • Mining Foreman Mindlink - 25% bonus to Mining Foreman Burst strength and duration
      • Industrial Core - Tech I 30%, Tech II 36% bonus to Mining Foreman Burst strength
      • Mining Foreman Burst charges
        • Mining Laser Optimization Charge: 15% reduction in Strip Miner duration
        • Mining Equipment Preservation charge: 15% reduction in the Crystal Volatility
  4. ^ a b For the formula see: Calculating Command Burst bonuses
  5. ^ These crystals take no damage as the Crystal Takes Damage value is false due to the crystals having a volatility value of 0%, which would render the value of the formula undefined.