Lardenoit's Fusion calculations & Lawson criterion.xlsx

7/23/2019 Lardenoit's Fusion calculations & Lawson criterion.xlsx

http://slidepdf.com/reader/full/lardenoits-fusion-calculations-lawson-criterionxlsx 1/51

Quantity Symbol Formula Numerical value

Plasma temperatu re T Input 45

Plasma pressure p Input 250

Plasma v olume (o nly w ork in g p lasma) V Input 400

Cross sect ion f(T) σ Nuclear data 1.0173

Bo ltzmann x Temperatu re KT K.T 7.20979E-15

Number dens ity of Ions n p/(K.T) 3.46751E+21

Total number of Ions N n.V 1.387E+21

Avarage part ic le mass M (md+mt)/2 4.17547E-27

Maxwell–Boltzmann velocity distribution v (8KT/πM)^(1/2) 2096905.323

Maxwelian reaction rate calculated σv σ.v 2.13318E-22

2719.479619

Bremsst rahlung losses (Only work ing plasma) P Br 269328478.1

Atom ic mass (DT) M m/1000.N A 4.17547E-27 Ion dens ity n p/(T.K) 3.46751E+21

Maxwell–Boltzmann velocity distribution v (8KT/ π M)^(1/2) 2096905.342

React ion rate f n².σv 2.52123E+21

Fus ion pow er output P f f.V.E DT 1.77394E+22

Th ermal en er gy c on ten t o f t he p lasma W 3.n.V.k.T 30

Maximum plasma heat loss to igni t ion P l oss f.V.Ech 568.433

Minimum required conf inement t ime τ E W/P loss 0.052776694

Minimum con finement t ime lawson τ E 1,7.10^20/n 0.0490266

Power dens ity E den Pf/V/p² 11.36865441

Fuel consu mption D+T F DT 60².2f.V.m/N A 30.31872465

Fuel consu mption D2O F D2O 4.F DT 1062.368112

Fuel consum ption l i thium (50% Li6-Li7) F LI (6,5/5).F DT 345.2696363

Hel ium produ ct ion F HE (8/5).F DT 424.9472447

Cool ing f luid (only decom posi t ion enegy) K E Pf/E H2O 4968.817487

Plasm a surface area (spherical) A 4π.(3V/4π)^(2/3) 2.625371615

Maximum heat loss to ign ition Q Ploss/A 216.5151468

Energy from lith ium blank et 50%Li6-Li7(2,3Mev) P L i f.V.E Li 371.4191072

Total produced energy P to t Pf+P Li 3213.583

Bremsst rahlung losses (Only work ing plasma) P Br http://en.wikipedia. 481.8114514

http://en.wikipedia.org/wiki/Bremsstrahlung




Unit numerical value Unit numerical value Unit

kev 522202714.2 °K

bar 25000000 Pa

liter 0.4 m³ 400000 cm³

barn 1.0173E-28 m²

J

m - 3.46751E+15 cm -

#

Kg

m/s 1468437.148

m³s-1 2.13318E-16 cm³s-1 8.02E-16

MW 2.719479619 GW

269.328478 MW

Kg 4.23861E-27 #/m³ 3.46751E+15 #/cm³

m/s 1858333.974 2275985

#/m³s

Mev/s 2842.164 MW

MJ

MW

s 52.777 ms

s 49.02660013 ms

W/m³/kPa²

g/h 265.592028 kg/jaar

kg/jaar

kg/jaar

kg/jaar

mol/s 321.9793732 ton/h

m² 26253.71615 cm²

MW/m²

MW

MW

MW



Description symbol formule value

Plasma temperature T variable 45

Plasma pressure p variable 250

Plasma volume (only working plasma) V variable 400

Cross section f(T) σ graph 1

Boltzmann constant K constant 1.38065E-23

Gas constant R constant 8.31447215

Avogadro constant N A

constant 6.02214E+23

number pi π constant 3.1416

Reaction energy (D+T) E DT constant 17.59

Joule per electronvolt E EV constant 1.60218E-19

Average molecular mass (for 50% D+T) m constant 2.514527

Thermal decomposition enegy water E H2O constant 572

Neutron velocity, (energy) vn constant 52000

Atomic mass (DT) M m/1000.N A 4.17547E-27

Ion density n p/(T.K) 3.46751E+21

Maxwell–Boltzmann velocity distribution v (8KT/ π M)^(1/2) 2096905.342

Reaction rate f n².σv 2.52123E+21

Fusion power output P f f.V.E DT 1.77394E+22

Thermal energy content of the plasma W 3.n.V.k.T 30 Maximum plasma heat loss to ignition P l oss f.V.Ech 568.433

Minimum required confinement time τ E W/P loss 0.052776694

Minimum confinement time lawson τ E 1,7.10^20/n 0.0490266

Power density E den Pf/V/p² 11.36865441

Fuel consumption D+T F DT 60².2f.V.m/N A 30.31872465

Fuel consumption D2O F D2O 4.F DT 1062.368112

Fuel consumption lithium (50% Li6-Li7) F L I (6,5/5).F DT 345.2696363

Helium production F HE (8/5).F DT 424.9472447

Cooling fluid (only decomposition enegy) K E Pf/E H2O 4968.817487

Plasma surface area (spherical) A 4π.(3V/4π)^(2/3) 2.625371615

Maximum heat loss to ignition Q Ploss/A 216.5151468

Energy from lithium blanket 50%Li6-Li7(2,3Mev) P L i f.V.E Li 371.4191072

Total produced energy P to t Pf+P Li 3213.583

Bremsstrahlung losses (Only working plasma) P Br http://en.wikipedi 481.8114514

http://www.nuclearfusion.be/







unit value unit

kev 522202725 °K

bar 25000000 Pa

liter 0.4 m³

barn 1E-28 m²

J/°K

J/°K.mol

#/mol

Mev

J/ev

g/mol

KJ/mol http://en.wikipedia.org/wiki/Water_splitting#Thermal_decomposition_of_water

km/s 14 Mev

Kg 4.23861E-27

#/m³ 3.46751E+15 #/cm³

m/s 1858333.974 2275985

#/m³s

Mev/s 2842.164 MW

MJ MW

s 52.777 ms

s 49.02660013 ms

W/m³/kPa²

g/h 265.592028 kg/jaar

kg/jaar

kg/jaar

kg/jaar

mol/s 321.9793732 ton/h

m² 26253.71615 cm²

MW/m²

MW

MW

MW

http://en.wikipedia.org/wiki/Water_splitting




Beschrijving symbool formule

Plasma temperatuur T gegeven

Plasma druk p gegeven

Plasma volume (enkel werkzaam plasma) V gegeven

Werkzame doorsneden, Cross section f(T) σ grafiek

Boltzmannconstante K constante

Gasconstante R constante

Constante van Avogadro N A constanteConstante van Planck h constante

Getal pi π constante

Reactie energie (D+T) E DT constante

Joule per electronvolt E EV constante

Gemiddelde molmassa (voor 50% D+T) m constante

Ontledingsenergie water E H2O constante

Neutron snelheid, (energie) vn constante

Atoommassa (DT) M m/1000.N A

Aantal ionen per cubic meter m³ n p/(K.T)

Gemiddelde deeltjessnelheid (Maxwell-Boltzmannverdeling) v (8.K.T/ π M)^(1/2)

Deeltjessnelheid v max (K.T/M)^(1/2)

Fusiesnelheid σv σ.v Reacties per volume per tijd f n².σv

Fusie vermogen opbrengst P f f.V.E DT

Energie inhoud van het plasma (Thermisch) W 3.n.V.k.T

Maximum plasma warmte verlies voor ignitie P loss f.V.Ech

Minimum benodigde opsluitingstijd τ E W/P loss

Minimum opsluitingstijd lawson τ E 1,7.10^20/n

Dichtheid-opsluitingstijd n.τ E n.τ E

Energie dichtheid E de n Pf/V/p²

Brandstofverbruik D+T F DT 60².2f.V.m/N A

Brandstofverbruik D2O F D2O 4.F DT

Brandstofverbruik lithium (50% Li6-Li7) F LI (6,5/5).F DT

Heliumproductie F HE (8/5).F DT

Koelwater (enkel ontledingsenergie) K E Pf/E H2O

Plasma oppervlak (bolvormig) A 4π.(3V/4π)^(2/3)

Maximum toegelate warmtestroom Q Ploss/A

Energie opgewekt in omringend lithium bad 50%Li6-Li7(2,3Mev) P Li f.V.E Li

Totaale geproduceerde bruto energie P to t Pf+P Li

Bremsstrahlung, remstraling (enkel werkzaam plasma) P Br http://en.wikipedia.

Bremsstrahlung, remstraling (enkel werkzaam plasma) P Br 1,4.10^-34.n².T,V

Neutron flux aan plasma opervlak n f f.V/A

(neutron moderatie energie)










waarde eenheid waarde eenheid

45 kev 522202725 °K

250 bar 25000000 Pa

400 liter 0.4 m³

1 barn 1E-28 m² 1E-24 cm²

1.38065E-23 J/°K

8.31447215 J/°K.mol

6.02214E+23 #/mol 6.62707E+34 j.s 4.13567E+15 ev.s

3.1416

17.59 Mev

1.60218E-19 J/ev

2.514527 g/mol

285 KJ/mol http://en.wikipedia.org/wiki/Water_splitting#Thermal_decomposition_of_

51753 km/s 14 Mev 1.25852E-68

4.17547E-27 Kg 4.23861E-27

3.46751E+21 #/m³ 3.46751E+15 #/cm³ 4*10^15

2096905.342 m/s 1858333.974 2275985

1314040.555 m/s 18583.33974

2.09691E-16 cm³/s 2.09691E-22 m³/s2.52123E+21 #/m³s

1.77394E+22 Mev/s 2842.164 MW

30 MJ

568.433 MW

0.052776694 s 52.777 ms

0.0490266 s 49.02660013 ms

1.7E+20 s/m³

11.36865441 W/m³/kPa²

30.31872465 g/h 265.592028 kg/jaar

1062.368112 kg/jaar

345.2696363 kg/jaar 424.9472447 kg/jaar

9972.503869 mol/s 646.2182507 ton/h

2.625371615 m² 26253.71615 cm²

216.5151468 MW/m²

371.4191072 MW

3213.583 MW

17.20755184 MW

3.5161E+23

3.84134E+16 #/cm²s

5.18 Mev 8.82 Mev

1 542.8264908 MW/m²







water







Description symbol formule value

Plasma temperature T gegeven 40

Plasma pressure p gegeven 250

Boltzmannconstante K constant 1.38065E-23

Neutron energie En gegeven 14

Atom density of material (atoms/cm³) N p/(T.K) 3.90094E+15

Microscopic cross-section deuterium σ 14.35(En+3.6 Mev)-1 barn 8.15341E-25

Macroscopic cross section deuterium Σ N.σ 3.1806E-09

Mean free path λ 1/Σ 314406198.8

Joule per electronvolt E EV constant 1.60218E-19

Neutron density (neutrons/cm³) n gegeven(=f) 3E+15

Neutron velocity (cm/sec) v gegeven (=14Mev) 5175303957

Neutron flux (neutrons/cm²-sec) Ф n.v 1.55259E+25

Reaction rate (reactions/sec) R Ф.Σ 4.93817E+16

Neutron moderator energie (Mev/cm³) E R.En 1.97527E+17

Neutron moderator energie (MW/cm³) E R.En 0.031647278

Density material ρ gegeven 7.86

Mol mass material M gegeven 55.847

Constante van Avogadro N A constant 6.02214E+23

Atom density of material (atoms/cm³) N ρ.N A 8.47566E+22

Microscopic cross-section material σ gegeven 2.56E-24

Macroscopic cross section material Σ N.σ 0.21697697

Mean free path λ 1/Σ 4.608784062



unit value unit

kev 464180200 °K

bar 25000000 Pa

J/°K

Mev

atoms/cm³)

cm²

cm-1

cm 3144.061988 km

J/ev

(neutrons/cm³)

(cm/sec)

(neutrons/cm²-sec)

(reactions/sec)

Mev/cm³

MW/cm³ 31647.278 MW/m³ 11.07655 GW/350l

gram/cm³ 91211409.3 °K

gram/mol 5584700 Pa

#/mol

atoms/cm³)

cm²

cm-1

cm 0.046087841 m



Phisical Constants from karlsruhenuclidechart

Quantity Symbol Formula Numerical value Unit numerical value Unit

Speed of light in vacuum c 299792458 m s-1

Magnetic constant µ 0 4 π x 10-7

1.25664E-06 N A-2

Newtonian costant of gravitation G 6.6742E-11 m3kg

-1s

-2

Electric constant Є0 8.85419E-34 F m-1

Plank constant h 6.62607E-12 J S

Atomic mass constant u 1/N A 1.66054E-27 kg 931.494043 Mev

Neutron mass m n 1.67493E-27 kg 939.56536 Mev

Proton mass m p 1.67262E-27 kg 938.272029 Mev

Electron mass m e 9.10938E-31 kg 0.510998918 Mev

Deuteron mass H 2+

m d 3.34358E-27 kg 1875.61282 Mev

Triton mass H 3+

m t 5.00736E-27 kg 2808.921005 Mev

Helion mass He4+

m h 6.64466E-27 kg 3727.37924 Mev

Elementery charge e 1.60218E-19 C

Electron Volt eV 1.60218E-19 J

Electron charcge to mass ratio e/m e 1.75882E+11 C kg-1

Electron-proton mass ratio m e /m p 0.000544617

Compton wavelengt λc 2.42631E+12 m

Classical electron radius r e e²/(m e c²) 2.81794E-15 m

Thomson cross section ςe 6.65249E-29 m²

Borh Radius a0 α/(4π R∞) 5.29177E-11 m

Fine-structure constant α 0.007297353

Rydberg constant R ∞ α²m e c/(2h) 10973731.57 m-1

Avogadro constant N A 6.02214E+23 mol-1

Molair volume of ideal gas (T = 273.15 K; p = 101.325 kPa) V m RT/p 0.022413996 m3

mol-1

Molar gas constante R 8.314472 J mol-1

k-1

Boltzmann constant K R/N A 1.38065E-23 J k-1

8.61734E-05 ev k-1

Faraday constant F N A .e 96485.3383 C mol

-1

Stefan-Boltzmann constant σ 5.6704E-08 W m-2

K-4

Pi π 3.141592654

Base of natural logarithms e 2.718281828

energie 100000 160000 1.497601757

snelheid n 4373933.769 1.5

snelheid deute 3095737.326

snelheid triton 3199822.77

D+T He n

17.589225 3.541123292 14.04810171 17.589225

17.589225 3.56 14.03 17.59

3.518 14.072

510998.9214 510.9989214 511kev

510.998918

http://karlsruhenuclidechart.net/index.aspx

http://karlsruhenuclidechart.net/index.aspx



4.1755E-27



Nuclear data from Janis-3.2

1.1 Incident deuteron on triton 1.2 incident triton on deuteron

Incident

deuteron

Energie Ed [kev]

Cross section σ

[barn]

Incident triton

Energie Et [kev]

Cross section σ

[barn]

0.1 2.05E-56 15 0.00105

0.2 7.43E-39 17.5 0.00251

0.3 4.06E-31 20 0.0051

0.4 1.59E-26 25 0.0156

0.5 2.10E-23 30 0.0363

0.6 4.17E-21 35 0.0714

0.7 2.51E-19 40 0.125

0.8 6.78E-18 45 0.2

0.9 1.03E-16 50 0.29

1 1.03E-15 55 0.41

2 2.31E-10 60 0.555

3 4.94E-08 65 0.734 1.16E-06 70 0.896

5 9.78E-06 75 1.11

6 4.65E-05 80 1.76

7 1.54E-04 85 1.56

8 4.04E-04 87 2.21

9 8.91E-04 90 1.82

10 0.0017326 95 2.11

11 0.003062 96 2.62

12 0.0050202 100 2.41

14 0.011399 104 3.11

16 0.021986 105 2.76

18 0.037791 110 3.0220 0.059678 114 3.67

22 0.088359 115 3.34

24 0.12441 120 3.71

26 0.1683 124 4.13

28 0.22039 125 4.04

30 0.28096 134 4.58

35 0.47073 144 4.82

40 0.71636 154 4.9

45 1.0173 164 4.9

50 1.3702 174 4.8

55 1.7686 184 4.8

60 2.2021 194 4.6165 2.6563 204 4.4

70 3.1134 214 4.2

75 3.5535 224 3.97

80 3.9571 244 3.54

85 4.3068 264 3.1

90 4.5902 284 2.78

95 4.8005 304 2.54

100 4.937 324 2.26

http://www.oecd-nea.org/janis/download.html

http://www.oecd-nea.org/janis/download.html



102 4.9718 344 2.04

104 4.9959 364 1.85

106 5.0098 377 1.67

108 5.0142 384 1.67

110 5.0097 404 1.5

112 4.9969 575 0.77

114 4.9766 980 0.38

120 4.8769 1200 0.3125 4.7592 1500 0.28

130 4.6194

135 4.4652

140 4.3027

145 4.1366

150 3.9704

160 3.6475

170 3.3465

180 3.0723

190 2.8256

200 2.6051

220 2.2332240 1.9369

260 1.6985

280 1.5046

300 1.3448

320 1.2116

340 1.0994

360 1.0039

380 0.92182

400 0.85074

420 0.7887

440 0.7342

460 0.686480 0.64315

500 0.60485

550 0.52504

600 0.46249

650 0.4124

700 0.37157

750 0.33778

800 0.30944

850 0.28541

900 0.26483

950 0.24705

1000 0.231581100 0.20607

1200 0.18603

1300 0.16999

1400 0.15695

1500 0.1462

1600 0.13725

1700 0.12971

1800 0.12333



1900 0.11788

2000 0.1132

2100 0.10916

2200 0.10567

2300 0.10263

2400 0.099995

2500 0.097697

2600 0.0956952700 0.093952

2800 0.092438

2900 0.091126

3000 0.089992

3100 0.089017

3200 0.088184

3300 0.087475

3400 0.086877

3500 0.08638

3600 0.085975

3700 0.085698

3800 0.0852623900 0.084843

4000 0.084461

4100 0.084102

4200 0.083756

4300 0.083415

4400 0.08307

4500 0.082715

4600 0.082342

4700 0.081946

4800 0.081523

4900 0.081069

5000 0.0805825200 0.079509

5400 0.078315

5600 0.07703

5800 0.075695

6000 0.074348

6200 0.073015

6400 0.071712

6600 0.070442

6800 0.069201

7000 0.067979

7500 6.4565

8000 0.0612348500 0.058278

9000 0.05568

9500 0.053365

10000 0.051372

11000 0.047773

11400 0.046531

12000 0.044817

12750 0.042837



13360 0.041536

13500 0.041155

15000 0.038398

16500 0.036127

18000 0.034278

19000 0.033226

20000 0.032297

22500 0.03039924000 0.029494

25000 0.028973

27500 0.027892

29600 0.027182

30000 0.027062

0

1

2

3

4

5

6

0 20 40 60 80

C r o s s - s e c i o n σ [

b a r n ]

Incident deuteron energie

1.1 Incident deuteron on trit

2.5

3

3.5

Chart Ti



0

0.5

1

1.5

2

0 5 10


b a r n ]

Incident neutron enegie



reaction rates 2.1 Incident neutron on deuteron

Energie

[kev]

reaction rate f

[cm3s

-1]

Incident neutron

Energie En [Mev] totaal elastisch

10 1.087E-16 1 2.872505 2.872499

19 3.937E-16 1.2 2.817794 2.817788

19.25 4.013E-16 1.5 2.730007 2.73

19.33 4.04E-16 1.75 2.640608 2.640601

19.5 4.09E-16 1.95 2.559972 2.559964

19.75 4.17E-16 2 2.540008 2.54

20 4.24E-16 2.25 2.441144 2.441136

30 6.65E-16 2.45 2.363908 2.3639

40 8.02E-16 2.5 2.345008 2.345

50 8.70E-16 2.75 2.25378 2.253771

60 8.97E-16 3 2.160009 2.16

70 9.00E-16 3.27 2.057489 2.0574880 8.89E-16 3.338632 2.032608 2.032599

90 8.71E-16 3.338633 2.032608 2.032599

100 8.48E-16 3.4 2.011155 2.009946

200 6.28E-16 3.5 1.977163 1.974254

300 4.95E-16 3.75 1.899018 1.891905

400 4.17E-16 4 1.83101 1.8175

500 3.67E-16 4.25 1.771697 1.752656

600 3.33E-16 4.5 1.718142 1.693132

700 3.09E-16 5 1.622011 1.585

800 2.91E-16 5.5 1.536191 1.487539

900 2.77E-16 5.6 1.52022 1.469186

1000 2.67E-16 6 1.460011 1.39986.5 1.391917 1.320731

7 1.330012 1.248

7.25 1.300667 1.213355

7.5 1.272274 1.17967

7.85 1.234954 1.13517

8 1.220012 1.1173

8.5 1.17611 1.064245

9 1.135012 1.015

9.5 1.092039 0.9647733

9.7 1.074956 0.9449395

10 1.050011 0.916

10.5 1.010896 0.870490411 0.9750108 0.8285497

11.5 0.9422967 0.7901829

11.75 0.926902 0.77213

12 0.9120103 0.7547

12.17 0.9019519 0.7429996

12.25 0.8971923 0.737496

12.5 0.8824462 0.7205396

13 0.8550099 0.6891768



13.5 0.8316759 0.662521

14 0.8100095 0.6380741

14.1 0.8056675 0.6332355

14.5 0.7886453 0.6144104

15 0.7680092 0.5919

15.5 0.7472745 0.5697097

16 0.728009 0.549387

16.5 0.7110479 0.531698317 0.6950088 0.5152

17.5 0.67985 0.499788

18 0.6650086 0.4848727

18.5 0.6497979 0.4697646

19 0.6350085 0.4552504

19.5 0.6212004 0.4418857

20 0.6080083 0.4293





100 120 140 160

Ed [kev]

on data

Series1

0

1

2

3

4

5

6

0


b a r n ]

le



15 20 25

En [Mev]

Series1

Series2

Series3



n2 free gas

General

informati

on

0 0 1-H - 3 LANL EVAL-JAN95 G.M.HALE AND M.DROSG

0 0 DIST-DEC06 yymmdd

0 0 ----ENDF/B-VII MATERIAL 131

0 0 INCIDENT DEUTERON DATA

0 0 ENDF-6 FORMAT

0 0

0 0 ***********************************************

0 0 d-t reaction evaluation, based on 5He system R-matrix an

0 0 by G. Hale (7/94), and T(d,n) Legendre coefficients evaluat

0 0 M. Drosg (12/94):

0 0 ***********************************************

0 0 0 0 This evaluation contains integrated cross sections and a

0 0 distributions for the reactions initiated by deuterons on tr

0.0012 0 at deuteron energies up to 10 MeV. The energy range for

0.0029 0 T(d,n)4He reaction has been extended to 30 MeV by matc

0.00710318 0 Legendre coefficients obtained by Drosg. The information

0.0135 0 MeV comes primarily from the solution parameters of an

0.01903124 0 multi-channel R-matrix analysis of reactions in the 5He sys

0.025 0 (including n-alpha elastic scattering) at deuteron energies

0.037 0 10 MeV (neutron energies up to 29 MeV), for which chi-s

0.04864145 0 per degree of freedom is about 1.6.

0.05102363 0

0.0602 0 MF=3, Integrated cross sections:0.07117423 0 --------------------------------

0.08200001 0 MT=2, nuclear cross sections for d-t elastic scattering.

0.08730046 0 elastic scattering data set included 675 data points and 5

0.09259276 0 different types of polarization measurements in addition t

0.09977261 0 differential cross sections.

0.1027 0

0.1118532 0 MT=50, T(d,n)4He reaction cross section. The R-matrix

0.12 0 set for this reaction contained 1169 data points, including

0.1272547 0 recent measurements of the low-energy integrated cross

0.1300055 0 Jarmie and Brown, recent measurements of the differenti

0.134 0 cross section in the MeV range by Drosg, and 13 different

0.1403946 0 of polarization measurements. The matching energy for j0.1464503 0 the R-matrix results with Drosg's Legendre coefficients wa

0.1521032 0 to be 7 MeV.

0.1547616 0

0.1573 0 MT=51, T(d,n)4He* reaction cross section. The data set

0.1589421 0 this reaction contained 11 data points, including the meas

0.1596861 0 of the zero-degree excitation function, and an angular

0.1618965 0 distribution at one energy, by Poppe.

0.1658232 0



0.1691452 0

0.1719259 0 MF=6, Legendre coefficients for angular distributions:

0.1724225 0 -------------------------------------------------------

0.1742255 0 MT=2, d+t elastic scattering. Coefficients are calculated

0.1761 0 from the R-matrix fit using the exact (LAW=5) nuclear am

0.1775557 0 representation (LTP=1). Nuclear partial waves up through

0.178613 0 waves were allowed in the analysis, giving Legendre order

0.1793407 0 L=0 to 10 in the nuclear cross section and L=0 to 5 in the0.1798 0 complex nuclear amplitude that interferes with the Coulo

0.1800533 0 amplitude.

0.1801273 0

0.1800248 0 MT=50, T(d,n)4He reaction. Coefficients (LAW=2) to L=

0.1797496 0 given for calculated neutron angular distributions at ener

0.1793063 0 up to 7 MeV. Above that energy, the evaluated coefficien

0.1787 0 Drosg are used. Data included the most recent differentia

section measurements in the MeV range. Alpha distributi

obtained by recoil (LAW=4).

MT=51, T(d,n)4He* reaction. Two-body (LAW=2) Legen

ficients are given to L=2 at energies up to 10 MeV. The dethe residual 4He* into p and t is approximated by a phase

(LAW=6) representation.

***********************************************

1 451 78 2

3 2 4 2

3 50 57 2

3 51 15 2

6 2 431 2

6 50 328 2

6 51 74 2





50 100 150 200 250 300

Incident deuteron energie Et [kev]

1.2 incident triton on deuteron data





********

lysis

ed by

********

gular

itons

the

hing to

below 10

extensive

tem

up to

uare

he

o the

data

the

section by

al

types

inings taken

for

urement



litude

H-

s

b

0 are

ies

ts of

l cross

ons are

dre coef-

cay of -space

********





350

Series1



0

1

2

3

4

5

6

0 20 40 60 80 1

C r o s s - s

e c i o n σ [

b a r n ]

Incident deuteron energie Ed [kev

1.1 Incident deuteron on triton



00 120 140 160

]

ata

Series1

0

1

2

3

4

5

6

0 50

C r o s s - s e

c i o n σ [

b a r n ]



100 150 200 250 300 350

Incident deuteron energie Et [kev]

1.2 incident triton on deuteron data

Seri



es1







σv = 8.5E-16 cm³/sσ = 1E-24 cm²

v = 8.5E+08 cm/s

v = 8500000 m/s













gegevens:

Voor een reactor die 4 GW aan fusie energie levert

4000 MJ (MW) = 2.4966E+22 Mev

aantal reacties

1.41852E+21

aantal mol D+T 1017.582751 kg/d0.002355516 mol/s 42.39928128 g/h

207.7564783 Nl/h 23.58530546 h

energie die in het plasma blijft

4.96484E+21 Mev = 795.4545455 MW

795.4545608

Proces druk

1.3 bar (ITER:1 - 2 bar)

130 KPa

power density 34 (W/m³/kPa²)

plasma volume diameter bol

6961.364427 m³ 23.69024317 m

2369.024317 cm

(ITER heeft een plasma volume van 850m³ en slechts 500MW aan energie)

http://nl.wikipedia.org/wiki/ITER

Temperatuur °K druk Pa diameter m volume m³ gasconsstante

300000000 25000000 0.9 0.38169711 8.314472

25000

1kg D+T 200 2.11859E+27 Mev

339435425.6 MJ 94.28761822

339.4354256 Tj

1kg D+T 340 Tj 94 Gw/h

11000.38825 ton steenkool 11000

8000 ton stookolie 8000

4.082617284 kg Uranium 235 4.08

4.059884114 kg Plutonium 239 4.06

6800 ton aardgas 6800

Per jaar (1,3GW 33

4015000

Tsar bomba 2920000

Energy 50KT 200PJ 1489.2

D+T 571.5372804 kg 1481.96.151699645 Gw (jaar) 2482000

2.030060883 Gw (elec/jaar) 365

6.02214E+23 299792458 8.98755E+16 3.13748E-29

1.86461E+14

1.60218E-19 1.008664916

masaverlies 1.02754878 u 0.018883864

u 1.66054E-27 Kg





masaverlies 3.13574E-29 Kg 1.60218E-19

2.81826E-12 17600000

17590206.87 ev 2.81983E-12

17.59020687 Mev

4.032979925

6.02E+23 6.02214E+23 1.66054E-24 4.0026020

################

massa electron 0.00054858 u he 3.96567E-30

massa proton 1.007276467 u 3.56417E-13neutron 1.008664916 u m verlies 2224577.589

kg 2.224577589

ev 1.60218E-19 j joule

j 6.24151E+18 ev ev 2224577.463

kg 5.60959E+35 ev Mev

28300700

avogadro

6.02214E+23 1.60218E-13 96485342363

D+T 17.6 849071.0128 MJ/mol HE

H+H 0.42 40523843.79 KJ/mol D

D+D 4.03 388835929.7 T

D+H 5.49 529704529.6 TT+T 11.3 1090284369 HE

He3+He3 12.9 1244660916



zeewater: 0,1 ppm Li, 0.015 deuterium 0.015 %

6666.66667

Deuterium Lithium 6420

16.95971251 g/h 59.35899 g/h 6600

(zee)water zeewater 59400

537.0575628 Kg/h 593589.9 kg/h 23.76 ton of m³ H20 (D)

0.537057563 ton/h 593.5899 ton/h 1.3 kg LI (T)

1H20 = 2.96 ev bol

Constante van Avogadro N A constante 6.02E+23 #/mol diameter 10

Joule per electronvolt E EV constante 1.6E-19 J/ev straal 5

ontledingsenergie H2O 285.5965 KJ/mol volume 523.583333

oppervlak 314.15

volume/op 1.66666667

Straal 5 m Toerental1 100 tr/min

vermogen 3000 Mw Toerental 2 220 tr/min

oppervlak 314.15 m² straal 5 m

Vermogen/oppervlak 9.54957823 MW/m² G kracht 548.3114 m/s²

G kracht 2653.827 m/s²

power density 34 (W/m³/kPa²) G kracht 10 m/s²

vermogen 8111063588 watt straal 18.84072 mm

8.11106359 GW

286

neutron energie neutron m neutron snelheid 6.0221E+23

14000000 ev 1.67E-27 51753.04 Km/s 4.7491E-19

2.24305E-12 joule 2.24E-12 1.6022E-19

2.96418088

n mol dichtheid g/c mol mass massa kg energie J 11604.505

0.00382563 2.5057E-05 2.5 9.56E-06 41041.3573 34397.8519

3248.23143 MJ

Gw/h

3.916666667 Gw/d 1.2925

ton steenkool 29333.33 ton zuurstof 30000 ton zuurstof

ton stookolie ton zuurstof 25000 ton zuurstof

kg Uranium 235

kg Plutonium 239

ton aardgas 21760 ton zuurstof 22000 ton zuursto

) 1GW 33% efficiancy 1GW 40% eficiency

ton steenkool 3075319 2537138.3

ton stookolie 2236596 1845191.5

kg Uranium 235 1140.664 941.04766

kg Plutonium 239 1135.072 936.43468ton aardgas 1901106 1568412.8

kg Deuterium, Tritium 279.5745 230.64894

Eb deuterium

2.22452 Mev

2.01410178

2.016489962

0.002388182



ev

joule

r = 1.7E-13 cm

4,002,602 a 9.04E-26 cm²

u 9.04E-30 m²

a tot 2.82E-06

2224577.573 1.56E+23

17

28

4.53E-12 joule

28296668 ev

28.29667 Mev



m

m

m³

m²

1.666667

3.666667

kj/mol

#/mol

j/a

ev

°K

Lardenoit's Fusion calculations & Lawson criterion.xlsx

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