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The tube assemblies are joined together into a matrix by a plate. The plate has a first surface, an opposite second surface and a plurality of holes. Each hole has a countersunk region that descends into the plate from the first surface. Tube assemblies are provided. Each tube assembly has a first e

The tube assemblies are joined together into a matrix by a plate. The plate has a first surface, an opposite second surface and a plurality of holes. Each hole has a countersunk region that descends into the plate from the first surface. Tube assemblies are provided. Each tube assembly has a first end, an opposite second end, and a flare structure. The flare structure is sized to be fully received within the countersunk region. The tube assemblies extend through the holes in the plate. The flare structure of each tube assembly is welded to the plate within the countersunk region of each hole through which each tube assembly passes.

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1. A tube matrix, comprising: a metal plate having a first surface, and an opposite second surface and a plurality of holes that extend from said first surface to said second surface, wherein each hole from said plurality of holes has a first beveled surface with a first angle and a first depth that

1. A tube matrix, comprising: a metal plate having a first surface, and an opposite second surface and a plurality of holes that extend from said first surface to said second surface, wherein each hole from said plurality of holes has a first beveled surface with a first angle and a first depth that funnels into said hole from said first surface;a plurality of hydrogen permeable metal tube elements, wherein each tube element from said plurality of hydrogen permeable tube elements has a first end, an opposite second end and a flare structure proximate said first end, wherein said flare structure has a second beveled surface with a second angle and a second depth that matches the first angle and the first depth of the first beveled surface, whereby the flare structure seats flush against the first beveled surface with none of the flare structure extending above the hole;wherein said plurality of hydrogen permeable metal tube elements extend through said plurality of holes in said plate, and wherein said second beveled surface of each said tube element is welded to said first beveled surface of each said hole through which each said tube element passes;wherein each said tube element in said plurality of hydrogen permeable tube elements is an assembly comprising a palladium alloy tube and a welding termination attached to said palladium alloy tube, wherein said flare structure is part of said welding termination; andwherein said plate and said welding termination are made from the same metal alloy. 2. The tube matrix according to claim 1, wherein said metal alloy comprises stainless steel. 3. The tube matrix according to claim 1, wherein said metal alloy comprises a non-reactive metal alloy. 4. The tube matrix according to claim 1, wherein each of said plurality of holes has a primary inside diameter which is slightly larger than a primary outside diameter of the metal tube elements, whereby the tube assemblies have little lateral play once in the holes. 5. The tube matrix according to claim 1, wherein each said flare structure has a flat top surface with an internal edge and an external edge, wherein said second beveled surface begins at said external edge of said flat top surface. 6. The tube matrix according to claim 5, further including a third beveled surface that begins at said internal edge of said flare structure and funnels inwardly. 7. A tube matrix, comprising: a plate made from a non-reactive metal alloy and having a first surface, an opposite second surface, and a plurality of holes that extend from said first surface to said second surface,wherein each hole of said plurality of holes has a countersunk region that descends into said plate from said first surface; anda plurality of hydrogen permeable tube elements, wherein each tube element from said plurality of hydrogen permeable tube elements has a first end, an opposite second end, and a flare structure proximate said first end, wherein said flare structure is sized to be fully received within said countersunk region such that none of the flare structure extends above the hole;wherein said plurality of hydrogen permeable tube elements extends through said plurality of holes in said plate, and wherein said flare structure of each said tube element is welded to said plate within said countersunk region of each said hole through which each said tube element passes;wherein said plurality of hydrogen permeable tube elements has a welding termination made from the same non-reactive metal alloy as the plate and each flare structure is formed directly onto said welding termination; andwherein said plurality of hydrogen permeable tube elements are tube assemblies that include palladium alloy tubes and welding terminations that cap said palladium alloy tubes, wherein each of said flare structures is formed on said welding terminations. 8. The matrix according to claim 7, wherein said non-reactive metal alloy comprises stainless steel. 9. The matrix according to claim 7, wherein said non-reactive metal alloy comprises a Hastelloy alloy. 10. The matrix according to claim 7, wherein each said countersunk region presents a first beveled surface that funnels toward said hole. 11. The matrix according to claim 10, wherein said flare structure presents a second beveled surface that abuts against said first beveled surface within each said countersunk region. 12. The matrix according to claim 11, wherein said first beveled surface and said second beveled surface are welded together in said countersunk region. 13. A tube assembly for use in a metal tube matrix system, said tube assembly comprising: a palladium alloy tube having a first end and a second end;a welding termination made from a non-reactive metal alloy including a short, tubular bottom end that slips over said first end of said palladium alloy tube, and a top end including a flare structure with a flat top, an exterior surface that is beveled at a first acute angle, and an interior surface that is beveled at a second acute angle, wherein the interior surface is a bright metal surface capable of reflecting a beam of light. 14. The assembly according to claim 13, wherein said welding termination comprises stainless steel. 15. The assembly according to claim 14, wherein said welding termination has a constant outside diameter between said bottom end and said flare structure, wherein said flare structure has a second diameter that is larger than said outside diameter. 16. The assembly according to claim 13, wherein said welding termination defines an open interior conduit, that communicates with said palladium alloy tube. 17. The assembly according to claim 16, wherein said welding termination is affixed to said palladium alloy tube with a brazed connection. 18. The assembly according to claim 17, wherein said flare structure also has an interior beveled surface that funnels into said open interior conduit at an acute angle. 19. The assembly according to claim 18, wherein the interior beveled surface is a bright metal surface. 20. The assembly according to claim 19, wherein the interior beveled surface is capable of reflecting a beam of light.