METHOD FOR MANUFACTURING A MONOCRYSTALLINE SAPPHIRE SEED AS WELL AS A SAPPHIRE SINGLE-CRYSTAL WITH A PREFERRED CRYSTALLOGRAPHIC ORIENTATION AND EXTERNAL PART AND FUNCTIONAL COMPONENTS FOR WATCHMAKING AND JEWELLERY

Abstract

A method for manufacturing a sapphire single-crystal, including melting alumina and/or sapphire in a crucible, and bringing the molten alumina and/or sapphire in contact with a monocrystalline sapphire seed to make the molten alumina and/or sapphire crystallise progressively according to a growth direction to form the sapphire single-crystal. The monocrystalline sapphire seed has a rhombohedral crystallographic structure defining three crystallographic axes [A], [C] and [M] perpendicular to each other and respectively perpendicular to the crystallographic planes. The monocrystalline sapphire seed is a plate delimited by two planar faces which extend parallel to and at a distance from each other, is obtained from an initial sapphire single-crystal which is cut so that one of the crystallographic axes of the monocrystalline sapphire plate forms with a normal to the planar faces of the monocrystalline sapphire plate an angle whose value is comprised between 5 and 85°.

Claims

1. A method for manufacturing a monocrystalline sapphire seed, the monocrystalline sapphire seed having a rhombohedral crystallographic structure defining three crystallographic axes [A], [C] and [M] perpendicular to each other and respectively perpendicular to the crystallographic planes A (11-20), C (0001) and M (10-10), the monocrystalline sapphire seed being a plate delimited by two planar faces which extend parallel to and at a distance from each other, the monocrystalline sapphire plate being obtained from an initial sapphire single-crystal that is cut so that one of the crystallographic axes [A], [C] or [M] of the monocrystalline sapphire plate forms with a normal to the planar faces of the monocrystalline sapphire plate an angle whose value is comprised between 5 and 85°.

2. A method for manufacturing a monocrystalline sapphire seed, the monocrystalline sapphire seed having a rhombohedral crystallographic structure defining three crystallographic axes [A], [C] and [M] perpendicular to each other and respectively perpendicular to the crystallographic planes A (11-20), C (0001) and M (10-10) of the rhombohedral structure, the monocrystalline sapphire seed being a monocrystalline sapphire bar obtained beforehand from an initial sapphire single-crystal which is cut so that one of the crystallographic axes [A], [C] or [M] of the monocrystalline sapphire bar forms with a normal to a cross-section of the monocrystalline sapphire bar an angle whose value is comprised between 5 and 85°.

3. A method for manufacturing a sapphire single-crystal, the method comprising the step of melting alumina and/or sapphire in a crucible, then bringing the melting alumina and/or sapphire in contact with a monocrystalline sapphire seed obtained by implementing the method according to claim 1 in order to make the melting alumina and/or sapphire crystallise progressively according to a growth direction to form the sapphire single-crystal.

4. A method for manufacturing a sapphire single-crystal, the method comprising the step of melting alumina and/or sapphire in a crucible, then bringing the melting alumina and/or sapphire in contact with a monocrystalline sapphire seed obtained by implementing the method according to claim 2 in order to make the melting alumina and/or sapphire crystallise progressively according to a growth direction to form the sapphire single-crystal.

5. A method for manufacturing a monocrystalline sapphire cylinder, the monocrystalline sapphire cylinder having a rhombohedral crystallographic structure defining three crystallographic axes [A], [C] and [M] perpendicular to each other and respectively perpendicular to the crystallographic planes A (11-20), C (0001) and M (10-10) of the rhombohedral structure, the method comprising the step of performing, by means of a cutting tool, in a sapphire single-crystal ball that has been grown according to one of the crystallographic axes [A] or [M] or [C] a core drilling according to a direction which forms with the growth crystallographic axis of the sapphire single-crystal ball an angle whose value is comprised between 5 and 85°.

6. A method for manufacturing a sapphire single-crystal obtained by crystallisation in the molten state at a top of a die, the method comprising the step of melting alumina and/or sapphire in a crucible, then bringing throughout channels of the die the molten alumina and/or sapphire in contact with a monocrystalline sapphire seed obtained beforehand in order to make the molten alumina and/or sapphire crystallise progressively according to a growth direction to form the sapphire single-crystal, the monocrystalline sapphire seed having a rhombohedral crystallographic structure defining three crystallographic axes [A], [C] and [M] perpendicular to each other and respectively perpendicular to the crystallographic planes A (11-20), C (0001) and M (10-10) of the rhombohedral structure, the monocrystalline sapphire seed being a first plate delimited by two planar faces which extend parallel to and at a distance from each other, one of the crystallographic axes [A], [C] or [M] being perpendicular to the planar faces of the first monocrystalline sapphire plate, the first monocrystalline sapphire plate being inclined by an angle whose value is comprised between 5 and 85° with respect to a perpendicular to the plane defined by the channels of the die, the sapphire single-crystal resulting from the crystalline growth being a second monocrystalline sapphire plate delimited by two planar faces which extend parallel to and at a distance from each other, the second monocrystalline sapphire plate having a disorientation of one of its crystallographic axes [A], [M] or [C] with respect to the normal to its planar faces which corresponds to the inclination by the angle of the first plate with respect to the channels of the die.

7. The manufacturing method according to claim 3, wherein the crystallographic axis [A], [M] or [C] forms with the normal to the planar faces of the monocrystalline sapphire plate an angle whose value is comprised between 25 and 35°.

8. The manufacturing method according to claim 4, wherein the crystallographic axis [A], [M] or [C] forms with the normal to the planar faces of the monocrystalline sapphire plate an angle whose value is comprised between 25 and 35°.

9. The manufacturing method according to claim 7, wherein the crystallographic axis [A], [M] or [C] forms with the normal to the planar faces of the monocrystalline sapphire plate an angle whose value is comprised between 5 and 15°.

10. The manufacturing method according to claim 8, wherein the crystallographic axis [A], [M] or [C] forms with the normal to the planar faces of the monocrystalline sapphire plate an angle whose value is comprised between 5 and 15°.

11. The manufacturing method according to claim 3, wherein the crystallographic axis [A], [M] or [C] forms with the normal to the cross-section of the monocrystalline sapphire bar an angle whose value is comprised between 25 and 35°.

12. The manufacturing method according to claim 4, wherein the crystallographic axis [A], [M] or [C] forms with the normal to the cross-section of the monocrystalline sapphire bar an angle whose value is comprised between 25 and 35°.

13. The manufacturing method according to claim 11, wherein the crystallographic axis [A], [M] or [C] forms with the normal to the cross-section of the monocrystalline sapphire bar an angle whose value is comprised between 5 and 15°.

14. The manufacturing method according to claim 12, wherein the crystallographic axis [A], [M] or [C] forms with the normal to the cross-section of the monocrystalline sapphire bar an angle whose value is comprised between 5 and 15°.

15. The manufacturing method according to claim 3, wherein the method for manufacturing the sapphire single-crystal is selected from among the EFG, HEM, Kyropoulos, Czochralski, Bridgman Vertical, Bridgman Horizontal and Micro Pulling Down processes.

16. The manufacturing method according to claim 4, wherein the method for manufacturing the sapphire single-crystal is selected from among the EFG, HEM, Kyropoulos, Czochralski, Bridgman Vertical, Bridgman Horizontal and Micro Pulling Down processes.

17. The manufacturing method according to claim 5, wherein the method for manufacturing the sapphire single-crystal is selected from among the EFG, HEM, Kyropoulos, Czochralski, Bridgman Vertical, Bridgman Horizontal and Micro Pulling Down processes.

18. The manufacturing method according to claim 6, wherein the method for manufacturing the sapphire single-crystal is selected from among the EFG, HEM, Kyropoulos, Czochralski, Bridgman Vertical, Bridgman Horizontal and Micro Pulling Down processes.

19. The manufacturing method according to claim 15, wherein the alumina and/or the sapphire that are molten are pure or doped.

20. The manufacturing method according to claim 19, wherein sapphire scraps are used.

21. The manufacturing method according to claim 3, wherein, once the sapphire single-crystal is obtained, external part or functional components for watchmaking or jewellery are cut in the sapphire single-crystal.

22. The manufacturing method according to claim 4, wherein, once the sapphire single-crystal is obtained, external part or functional components for watchmaking or jewellery are cut in the sapphire single-crystal.

23. The manufacturing method according to claim 5, wherein, once the sapphire single-crystal is obtained, external part or functional components for watchmaking or jewellery are cut in the sapphire single-crystal.

24. The manufacturing method according to claim 6, wherein, once the sapphire single-crystal is obtained, external part or functional components for watchmaking or jewellery are cut in the sapphire single-crystal.

25. The manufacturing method according to claim 21, wherein the external part or functional components are watch bridges, plates, cases and dials or else wristlet links.

26. A monocrystalline sapphire seed having a rhombohedral crystallographic structure defining three crystallographic axes [A], [C] and [M] perpendicular to each other and respectively perpendicular to the crystallographic planes A (11-20), C (0001) and M (10-10) of the rhombohedral structure, the monocrystalline sapphire seed being a plate delimited by two planar faces which extend parallel to and at a distance from each other, one of the crystallographic axes [A], [C] or [M] of the monocrystalline sapphire plate forming with a normal to the planar faces of the monocrystalline sapphire plate an angle whose value is comprised between 5 and 85°.

27. A monocrystalline sapphire seed having a rhombohedral crystallographic structure defining three crystallographic axes [A], [C] and [M] perpendicular to each other and respectively perpendicular to the crystallographic planes A (11-20), C (0001) and M (10-10) of the rhombohedral structure, the monocrystalline sapphire seed being monocrystalline sapphire bar one of the crystallographic axes [A], [C] or [M] of which forms with a normal to a cross-section of the monocrystalline sapphire bar an angle whose value is comprised between 5 and 85°.

28. A watch glass blank delimited by two faces which extend at a distance from each other and at least one of which is planar, the blank being made of monocrystalline sapphire having a rhombohedral crystallographic structure defining three crystallographic axes [A], [C] and [M] perpendicular to one another and respectively perpendicular to the crystallographic planes A (11-20), C (0001) and M (10-10) of the rhombohedral structure, one of the crystallographic axes [A], [C] or [M] forming with a normal to the planar face of the blank an angle whose value is comprised between 5 and 85°, so that the crystallographic axis [C] is not comprised in the planar face of the watch glass blank.

29. External part and functional components for watchmaking and jewellery cut in a sapphire single-crystal obtained by implementing the manufacturing method according to claim 3.

30. External part and functional components for watchmaking and jewellery cut in a sapphire single-crystal obtained by implementing the manufacturing method according to claim 4.

31. External part and functional components for watchmaking and jewellery cut in a sapphire single-crystal obtained by implementing the manufacturing method according to claim 5.

32. External part and functional components for watchmaking and jewellery cut in a sapphire single-crystal obtained by implementing the manufacturing method according to claim 6.

33. The external part and functional components according to claim 29, wherein these consist of watch bridges, plates, glasses, cases and dials or else of wristlet links.

Description

BRIEF DESCRIPTION OF THE FIGURES

[0039] Other features and advantages of the present invention will appear more clearly from the following detailed description of an example of implementation of the method according to the invention, this example being given only for purely illustrative and non-limiting purposes with reference to the appended drawings wherein:

[0040] FIG. 1 illustrates an EFG-type crystalline growth method enabling the obtainment of several sapphire single-crystals from a monocrystalline sapphire seed in the form of a plate prepared in accordance with the invention;

[0041] FIG. 2 illustrates a watch glass blank cut in a sapphire single-crystal obtained by crystalline growth in contact with a monocrystalline sapphire seed in the form of a plate prepared in accordance with the invention;

[0042] FIG. 3 illustrates a monocrystalline sapphire seed in the form of a bar prepared in accordance with the invention;

[0043] FIG. 4A illustrates a so-called Kyropoulos ball that has been grown according to the crystallographic axis [A] and in which a bar is sampled which will serve as a seed for the growth of a sapphire single-crystal in accordance with the invention;

[0044] FIG. 4B illustrates a sapphire single-crystal in the form of a Kyropoulos ball obtained by means of the seed of FIG. 4A and in which a cylinder is sampled by means of a diamond tool and according to the growth direction of this sapphire single-crystal allowing obtaining blanks of watch glasses in accordance with the invention;

[0045] FIG. 4C illustrates a so-called Kyropoulos ball in which a cylinder is directly sampled by means of a diamond tool allowing obtaining blanks of watch glasses in accordance with the invention;

[0046] FIG. 5 is a top view of a die for the growth of sapphire single-crystals in accordance with another embodiment of the method according to the invention;

[0047] FIG. 6 is a side sectional view of the die of FIG. 5;

[0048] FIG. 7 is a top view of a watch glass obtained thanks to the method according to the invention and placed between two crossed polarisers;

[0049] FIG. 8 schematically illustrates cutting of blanks of watch glasses in an EFG-type sapphire single-crystal;

[0050] FIG. 9 schematically illustrates cutting of blanks of watch glasses in a monocrystalline sapphire cylinder.

DETAILED DESCRIPTION OF THE INVENTION

[0051] The present invention is based on the inventive general idea which consists in producing watch glasses in particular from a blank cut in a sapphire single-crystal obtained by crystalline growth in the molten state in a crucible in contact with a monocrystalline sapphire seed in the form of a plate or a bar. The originality of the invention lies in particular in that the monocrystalline sapphire seed that is used to make the sapphire single-crystal grow in which the glass blanks are cut is, itself, cut in a sapphire single-crystal so that the crystallographic axis [C] that is perpendicular to the crystallographic plane (0001) of the primitive cell of the sapphire single-crystal in which these glass blanks are cut is not contained in the plane of the latter. More specifically, the first sapphire single-crystal is cut so that a monocrystalline sapphire seed is obtained in the form of a plate with planar faces wherein one of the crystallographic axes [A], [C] or [M] forms with a normal to the planar faces of the plate, respectively with a cross-section of the bar, an angle whose value is comprised between 5 and 85°. Next, the disorientation of the crystallographic axes [A], [C] or [M] in the monocrystalline sapphire seed is found in the sapphire single-crystal that is grown in contact with this monocrystalline sapphire seed, then in the blanks of watch glasses that are cut in this sapphire single-crystal. Finally, the crystallographic axis [C] does not lie in the plane of the glass blanks and therefore does not cross the edges of these blanks. Thus, the greatest fragility to machining that is usually noticed when the crystallographic axis [C] crosses the edges of the blanks of the watch glasses is avoided. Thus, the blanks of watch glasses are less fragile and consequently easier to machine. In particular, the risks of chipping are considerably reduced.

[0052] FIG. 1 schematically shows an EFG-type method for the manufacture of a sapphire single-crystal by means of a monocrystalline sapphire seed obtained in accordance with the invention. Referred to by the reference numeral 1, the monocrystalline sapphire seed is in the form of a plate 2 delimited by two planar faces 4 which extend parallel to and at a distance from each other. This monocrystalline sapphire seed 1 has a rhombohedral crystallographic structure defining three crystallographic axes [A], [C] and [M] perpendicular to each other and respectively perpendicular to the crystallographic planes A (11-20), C (0001) and M (10-10) of the primitive cell of sapphire.

[0053] According to the invention, the monocrystalline sapphire seed 1 is cut in a first sapphire single-crystal so that, for example, the crystallographic axis [C] of the resulting plate 2 is rotated about the crystallographic axis [M] to form with a normal D1 to the planar faces 4 of this plate 2 an angle α whose value is comprised between 5 and 85°, for example 10°. The crystallographic axes [A], [C] and [M] being perpendicular to each other, the crystallographic axis [A] is also shifted by the same angle α with respect to the planar faces 4 of the plate 2, whereas the crystallographic axis [M] rotates by 10° about itself and therefore does not move.

[0054] It should be noted that the techniques for cutting a monocrystalline sapphire seed in a sapphire single-crystal according to a preferred direction are known to a person skilled in the art in the field of sapphire single-crystal growth and therefore will not be detailed herein.

[0055] As it arises from FIG. 1, the monocrystalline sapphire seed 1 is pulled according to the crystallographic axis [M] which defines the growth direction L of sapphire single-crystals 6. Each sapphire single-crystal 6 is obtained by bringing molten alumina and/or sapphire in contact with the monocrystalline sapphire seed 1 at one of the tops of a die, then by progressively pulling this monocrystalline sapphire seed 1 according to the growth direction L to slowly bring it away from the molten alumina and/or sapphire and enable the progressive growth of the sapphire single-crystal 6.

[0056] In accordance with the invention, the monocrystalline sapphire seed 1 is used to make the sapphire single-crystals 6 grow in which the blanks 8 of watch glasses 10 will be cut. These blanks 8 of watch glasses 10 are delimited by two faces which extend at a distance from each other and at least one of which 12 is planar. The monocrystalline sapphire seed 1 is in the form of a plate 2 itself cut in an initial sapphire single-crystal so that, for example, its crystallographic axis [C] is rotated about the crystallographic axis [M] to form with a normal D1 to the planar faces 4 of the plate 2 an angle α whose value is comprised between 5 and 85°, for example 10°. Next, the disorientation of the crystallographic axes [A] and [C] in the monocrystalline sapphire seed 1 is found in the sapphire single-crystals 6 that are grown in contact with this monocrystalline sapphire seed 1, then in the blanks 8 of watch glasses 10 that are cut in these sapphire single-crystals 6.

[0057] Finally, as shown in FIG. 2, because of the disorientation of the crystallographic axes [A] and [C], the crystallographic axis [C] is not comprised in the planar face 12 of the blanks 8 of the watch glasses 10 and therefore does not cross the edges 14 of these blanks 8. Thus, the greatest fragility to machining that is usually noticed at the locations where this crystallographic axis [C] crosses the edges 14 of the blanks 8 of the watch glasses 10 is avoided. Thus, the blanks 8 of the watch glasses 10 are less fragile and consequently easier to machine. In particular, the risks of chipping are considerably reduced and the losses are lesser.

[0058] FIG. 3 schematically shows a monocrystalline sapphire bar 16A used in a crystalline growth process for example of the Kyropoulos type. This monocrystalline sapphire bar 16A has a rhombohedral crystallographic structure defining three crystallographic axes [A], [C] and [M] perpendicular to each other and respectively perpendicular to the crystallographic planes A (11-20), C (0001) and M (10-10) of the primitive cell of sapphire.

[0059] According to the invention and as illustrated in FIG. 4A, the monocrystalline sapphire bar 16A is cut in a sapphire single-crystal ball 18A obtained beforehand, so that for example the crystallographic axis [A] of the resulting monocrystalline sapphire bar 16A is rotated about the crystallographic axis [M] to form with a normal D2 to a cross-section S of this monocrystalline sapphire bar 16A an angle α whose value is comprised between 5 and 85°, for example 10°. The crystallographic axes [A], [C] and [M] being perpendicular to each other, the crystallographic axis [C] is also shifted by the same angle α with respect to the cross-section S of the monocrystalline sapphire bar 16A, whereas the crystallographic axis [M] rotates about itself and therefore does not move. Next (cf. FIG. 4B), the disorientation of the crystallographic axes [A] and [C] in the monocrystalline sapphire bar 16A is found in the sapphire single-crystal ball 18B that is grown by setting molten alumina and/or sapphire in contact with this monocrystalline sapphire bar 16A. Next, it is possible to cut, by means of a diamond cutting tool 20, a monocrystalline sapphire cylinder 16B in the sapphire single-crystal ball 18B according to the growth direction D3 of the latter from the monocrystalline sapphire bar 16A. Afterwards, blanks 8 of watch glasses 10 in accordance with the invention may, in turn, be cut in this monocrystalline sapphire cylinder 16B.

[0060] In FIG. 4C, one could see a sapphire single-crystal ball 18C for example of the Kyropoulos type in which a core drilling is performed by means of the cutting tool 20 according to a direction which forms with the crystallographic axis [A] of growth of this sapphire single-crystal ball 18C an angle α whose value is comprised between 5 and 85°, for example 10°. By this means, monocrystalline sapphire cylinders 16C enabling cutting of blanks 8 of watch glasses 10 in accordance with the invention could also be obtained.

[0061] It should be noted that the techniques for cutting according to a preferred direction a monocrystalline sapphire seed in a sapphire single-crystal ball obtained beforehand, for example of the Kyropoulos type, whether this seed is in the form of a plate 2 with planar faces 4 or in the form of a bar 16A, are known to a person skilled in the art in the field of sapphire single-crystal growth and therefore will not be detailed herein.

[0062] Finally, because of the disorientation of the crystallographic axis [A] with respect to the normal to a cross-section S of the monocrystalline sapphire bar 16A, the crystallographic axis [C] does not generally lie in the planar face 12 of the blanks 8 of the watch glasses 10 and therefore does not generally cross the edges 14 of these blanks 8. Thus, the greatest fragility that is usually noticed at the locations where this crystallographic axis [C] crosses the edges 14 of the blanks 8 of the watch glasses 10 is avoided. Thus, the blanks 8 of the watch glasses 10 are less fragile and consequently easier to machine. In particular, the risks of chipping are considerably reduced and the losses are lesser.

[0063] It goes without saying that the present invention is not limited to the modes of implementation that have just been described and that various simple modifications and variants could be considered without departing from the scope of the invention as defined by the appended claims. In particular, rather than preparing a monocrystalline sapphire seed in the form of a plate a crystallographic axis of which forms a non-zero angle with respect to the normal to the planar faces that delimit this plate as explained hereinabove, it may also be considered, as illustrated in FIGS. 5 and 6, to use a monocrystalline sapphire seed 22 in the form of a first plate 24 the crystallographic axis [C] of which for example is conventionally perpendicular to the planar faces 26 that delimit this first plate 24. According to a special embodiment of the invention, such a monocrystalline sapphire seed 22 is used to make sapphire single-crystals 28 grow at the tops of a die 30 which is composed by a plurality of channels 32 which extend parallel to and at a distance from each other and inside which molten alumina and/or sapphire transits. Afterwards, this molten alumina and/or sapphire comes into contact with the monocrystalline sapphire seed 22 and starts crystallising to form the sapphire single-crystals 28 in the form of second plates. Each of these second monocrystalline sapphire plates is delimited by two planar faces 34 which extend parallel to and at a distance from each other. In this case, by inclining the monocrystalline sapphire seed 22 by an angle α whose value is comprised between 5 and 85°, for example 10°, with respect to a perpendicular P to the plane in which the channels 32 of the die 30 extend, the second monocrystalline sapphire plates which result from the crystalline growth have the same disorientation of their crystallographic axis [A] with respect to the normal to their planar faces 34 as the plates obtained by means of a monocrystalline sapphire seed having a disorientation of its crystallographic axes as described hereinabove with reference to FIG. 1.

[0064] FIG. 7 is a top view of a watch glass 10 obtained thanks to the method of the invention and placed between two crossed polarisers. In this FIG. 7, one could see that no defect such as dislocations or uncontrolled local changes in orientation is visible in the watch glass 10. It should also have been understood that, in accordance with the method of the invention, alumina and/or sapphire are molten. These materials may be pure or doped. Preferably yet without limitation, the doping materials are selected from the group formed by titanium, iron, chromium, cobalt and vanadium used alone or in combination. As regards the used sapphire, it preferably consists of scraps such as poor-quality sapphire crystals or else machining chips or scraps originating from the different steps of manufacturing the watch glasses 10. The present invention has been described quite particularly in connection with the manufacture of watch glasses 10. It goes without saying that this example is given only for purely illustrative and-limiting purposes and that the present invention applies more generally to the manufacture of external part and functional components in particular for watchmaking and jewellery such as watch bridges, plates, cases and dials or else wristlet links.

[0065] As illustrated in FIG. 8, blanks 8 of watch glasses 10 are cut in an EFG-type sapphire single-crystal 6. As illustrated in FIG. 9, it should be understood that the blanks 8 of watch glasses 10 are machined in a monocrystalline sapphire cylinder 16B cut in the sapphire single-crystal ball 18B according to the growth direction D3 of the latter from the monocrystalline sapphire bar 16A. In other words, the blanks 8 of watch glasses 10 are cut perpendicularly to the growth direction D3 of the sapphire single-crystal ball 18B. Typically, the thickness of the blanks 8 of watch glasses 10 is comprised between 1 to 2 mm and could reach 10 mm. Finally, it should be noted that, in all of the foregoing, the term “bar” applies to a seed, and the term “cylinder” applies to a sapphire single-crystal.

NOMENCLATURE

[0066] 1. Monocrystalline sapphire seed [0067] 2. Plate [0068] 4. Planar faces [0069] a Angle [0070] D1 Normal [0071] L Growth direction [0072] 6. Sapphire single-crystal [0073] 8. Blanks [0074] 10. Watch glasses [0075] 12. Planar face [0076] 14. Edges [0077] 16A. Monocrystalline sapphire bar [0078] 16B. Monocrystalline sapphire cylinder [0079] 16C. Monocrystalline sapphire cylinder [0080] 18A. Sapphire single-crystal ball [0081] 18B. Sapphire single-crystal ball [0082] 18C. Sapphire single-crystal ball [0083] D2 Normal [0084] S Cross-section [0085] D3 Growth direction [0086] 20. Cutting tool [0087] 22. Monocrystalline sapphire seed [0088] 24. First plate [0089] 26. Planar faces [0090] 28. Sapphire single-crystals [0091] 30. Die [0092] 32. Channels [0093] 34. Planar faces