Section 2 Technology

2.3 Weaponary

 

2.3.2 Personal Phasers

Hand Phasers

Hand phasers (acronym for PHASed Energy Rectification) operate on the same principal as the larger phasers and convert stored energy into tightly focused beams of energy. (Sternbach and Okuda 1991). The Type I Phaser was a small handheld weapon that could generally be fitted into the "pistol grip" of the type 2 phaser pistol. The Type II phaser was significantly more powerful than the smaller Type I. Type III phasers were a form of rifle weapon and included the compression rifles first seen on Star Trek: Voyager. (See pp 356 Okuda and Okuda). Hand phasers work on much the same principle as larger ship board weapons but the superconductiong crystal is of a LiCu 521 type and has a 3% improvement in thermodynamic efficiency at 92.65%. energy is stored within a replenishable sarium krellide cell. Sarium Krellide holds a maximum of 1.3*10^6 megajoules per cubic centimetre with a maximum leak rate of no more than 1.05 kilojoules per hour.

In a Type I phaser cell the sarium krellide unit measures 2.4*3 and holds 7.2*10^6 MJ and in the Type II 10.2 * 3 holding 4.5 * 10^7 MJ recently upgraded to 8.79*10^7. The latest Type IIIb phaser rifle supports a swappable power cell with 3.45 * 10^8 Megajoules. Given that almost no thermal and unwanted EM energy signatures are carried in the beam, these weapons reflect a very efficient design. However, it is important to appreciate the levels of damage a phaser can cause based on electromagnetic properties and on those caused by nadions.

We will attempt to ascertain the effect of the rapid nadion effect. There is a comparatively simple relationship between energy discharge and the damage to rock, given the data from Sternbach and Okuda 1991 pp 137, we can attempt to ascertain energy discharge for the various phaser settings.

Nadions are subatomic particles that have the ability to liberate and transfer the strong nuclear forces, from Star Trek Voyager's Demon, we can see that a phasers nadion burst can disrupt electromagnetic bonds. The strong interaction is the force within a nucleus of an atom that binds the nucleons together. Given that there is an inherent repulsion in an atom's nulceus whereby the coupling of the positive charged protons will cause the matter to explosively decouple a method was required to hold them together. It is now understood that the force that binds the nucleus is from the interaction of a set of particles known as quarks. In 1961 two physicists, Murray Gell Man  of the United States and Yuval Ne'eman of Israel, proposed a particle classification scheme, from this theory known as the Eight Fold Way, was developed a theoretical set of particles that worked in groups of three to create nucleons. It was in 1964  that Gell-Mann introduced the concept of quarks as a physical basis for the scheme, adopting the term from a passage in James Joyce's novel Finnegans Wake. 

Quarks come in one of six "flavours"  of which all baryons such as the proton or pi meson are constructed. Each flavour has one of three colours, all matter is made of white quark combinations, that is the cancellation of all primary colours, red, green and blue. For each quark, there is a corresponding anti-quark. Quarks interact with each other primarily through the strong force via gluons. 

The following table shows properties of the 6 species. Charge is measured in units if the electron's charge = 1.6 x 10^-19 Coulomb.

 

Flavour Mass (GeV/c^2) Charge (e)
Up 0.3 +2/3
Down 0.3 -1/3
Strange 0.5 -1/3
Charm 1.5 +2/3
Bottom 4.5 -1/3
Top 175 +2/3


see Fermilab web site www.fnal.gov  

If  the rapid nadion effect can affect the strong nuclear force it may well alter the "damage a phaser can do to an object. That is, the energy released might not be the significant factor in damage to a target. The graphs below chart among other things how much the nadion effect changes with phaser intensity. Given that we know a relative value for the energy used by the phaser at each level (Sternbach and Okuda 1991), we can correlate this with the nadion effect and see how much the decorrelation of the strong nuclear force effects matter.

Size (Radius) Mass Kinetic Energy (megatonnes) Crater Excavated     Volume kgm^3 Mass kg Crater Diameter Approximate Energy (megatonnes) Energy (joules)
4000 8.04E+14 100000 160000 6.434E+18     10 60000 1.285048807 4.24413E-11 126381.3
3500 5.39E+14 66992.1875 140000 4.3103E+18     50 300000 2.19740255 2.12207E-10 631906.6
3000 3.39E+14 42187.5 120000 2.7143E+18     90 540000 2.673009235 3.81972E-10 1137432
2500 1.96E+14 24414.0625 100000 1.5708E+18     160 960000 3.238120084 6.79061E-10 2022101
2000 1.01E+14 12500 80000 8.0425E+17     370 2220000 4.282067715 1.57033E-09 4676109
1500 4.24E+13 5273.4375 60000 3.3929E+17     650 3900000 5.166828839 2.75869E-09 8214786
1000 1.26E+13 1562.5 40000 1.0053E+17
500 1.57E+12 195.3125 20000 1.2566E+16
400 8.04E+11 100 16000 6.434E+15
300 3.39E+11 42.1875 12000 2.7143E+15
200 1.01E+11 12.5 8000 8.0425E+14
100 1.26E+10 1.5625 4000 1.0053E+14
50 1.57E+09 0.1953125 2000 1.2566E+13
10 12566371 0.0015625 400 1.0053E+11
5 1570796 0.000195313 200 1.2566E+10
1 12566.37 1.5625E-06 40 100530965

Graph 1 Shows the general relationship between impactor and crater size, we will use this relationship in deducing the absolute energy emitted by a phaser at various energy settings. this will allow an appreciation for the impact of nadions in decoupling matter. 

Phaser Setting SEM:NDF ratio Damage Index Discharge Energy Structural Damage Energy (joules)
1 0 0 15.75 0 unknown
2 0 0 45.3 0 unknown
3 0 1 160.65 0 unknown
4 0 3.5 515.75 0 unknown
5 0.004 7 857.5 0 unknown
6 0.011111111 15 2700 0 unknown
7 1 50 4900 0 unknown
8 3 120 15000 0 unknown
9 7 300 65000 0 unknown
10 9 450 125000 0 unknown
11 11 670 300000 10 126381.3175
12 14 940 540000 50 631906.5874
13 18 1100 720000 90 1137431.857
14 20 1430 930000 160 2022101.08
15 25 1850 1170000 370 4676108.747
16 40 2450 1550000 650 8214785.636

From what we know about the Energy Discharge and the absolute energy discharge we can create a relationship to allow exact energy discharge for lower level phaser discharges.

The preliminary extrapolated equations are below. The energy should be accurate for all double figure but clearly breaks down for lower levels

Phaser Setting Discharge Energy Actual Energy Discharge SEM:NDF ratio Energy Imparted by EM alone
1 15.75 1.11603E-06 0 1.11603E-06 joules
2 45.3 1.64285E-05 0 1.64285E-05 joules
3 160.65 0.000412163 0 0.000412163 joules
4 515.75 0.008026276 0 0.008026276 joules 
5 857.5 0.029278409 0.004 0.029161762 joules 
6 2700 0.54267081 0.011111111 0.536707394 joules
7 4900 2.47396825 1 1.236984125 joules
8 15000 42.68156153 3 10.67039038 joules
9 65000 1783.491112 7 222.936389 joules
10 125000 9422.896873 9 942.2896873 joules
11 300000 87500.82623 11 7291.735519 joules 
12 540000 390668.4286 14 26044.56191 joules
13 720000 812530.8696 18 42764.78261 joules
14 930000 1558738.798 20 74225.65707 joules
15 1170000 2796192.787 25 107545.8764 joules
16 1550000 5721229.084 40 139542.1728 joules

It should be possible to calculate the exact discharges using the following equations.

Let:

Therefore

Approximate relationships

Table to Show Comparative Alien Sidearms

Comparative Weapons Energy Pistol Rifle Other
Federation 8.79*10^7 MJ 3.4*10^8 MJ 7.2*10^6 MJ (Type 1)
Bajoran 1.2*10^6 MJ Unspecified  
Klingon Disruptor 1.2*10^7 MJ 6.5*10^7 MJ  
Cardassian Phaser 3.2*10^7 MJ 9.8*10^7 MJ  
Jem'Hadar 5.4*10^8 MJ 1.54*10^9 MJ  
Breen Type 4 Disruptor Unspecified Unspecified  
Romulan Type 4 Disruptor Unspecified Unspecified  

Table values from Zimmerman et al. 1998

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