Potassium had body centred cubic structure with the nearest neighbour distance 260 √ 3 p m. 9 pm. Lattice point per conventional cell: 1=8×1/8 Volume (conventional cell): a 3 Volume (primitive cell) :a 3 Number of nearest neighbors: 6 Nearest neighbor distance: a In the present video I have discussed all the basic necessary details of Body Centered Cubic (BCC)Structure. Start learning . Here a is the lattice constant of the bcc lattice and R is the radius of the sphere. Step by step video, text & image solution for First three nearest neighbour distance for body centred cubic lattice are respectively: by Chemistry experts to help you in doubts & scoring excellent marks in Class 11 exams. Calculate its density. Closeness is typically expressed in terms of a dissimilarity function: the less similar the objects, the larger the function values. dhkl = a h2 +k2 +l2− −−−−−−−−−√. Each radial cutoff distance was set to a value larger than the second nearest neighbor distance in each system. 52 A o. Find local businesses, view maps and get driving directions in Google Maps. Here, the corner atoms and the face-centre atoms are in contact along the face diagonal. Such random particle movements when repeated. 1,683. View Solution. The nearest neighbor distance is 0. Potassium crystallizes in a body-centered cubic lattice with edge length, a = 5. Is silicone a BCC or FCC? Silicon, Si Silicon has the diamond cubic crystal structure with a lattice parameter of 0. In sc, bcc and fcc the ratio of number of atoms per unit cell is given by: Class 12. b O av 3/2 . Hard. In the body centred cubic lattice (bcc) the nearest neighbours touch along the body diagonal. For body centered cubic lattice nearest neighbour distance is half of the body diagonal distance, a√3/2. Since each fluoride ion has four nearest-neighbor calcium ions, the coordination in this structure is described as (8:4). 036,NA = 6 × 10^23,K = 39) Solve Study Textbooks Guides. how many nearest and next nearest neighbours respectively each potassium has in BCC lattice What is the distance between next nearest Neighbour in BCC unit cells? For a body centered cubic (BCC) lattice, the nearest neighbor distance is half of the body diagonal distance, 23 a . A rock containing three crystals of pyrite (FeS 2). Second neighbours are at the centers of the nearest adjacent cells. >> The Solid State. Crystal structures: If the nearest neighbor distance is 2 A then calculate the volume of the unit cells in bcc, fcc and sc structures. 3. These formulas can be used to obtain a good cutoff distance:The units of the cohesive energy E c, equilibrium nearest-neighbor distance r e, and the bulk modulus B are eV/atom, Å, and 10 12 dyne/cm 2, respectively. Modified 3 years, 8 months ago. What is the density of solid copper? Hint: there are 4 atoms per unit cell in the FCC lattice. View solution > The number of close neighbours in a body-centred cubic lattice of identical spheres is:. The body-centered cubic (bcc) has a coordination number of 8 and contains 2 atoms per unit cell. How much larger would the Coulomb repulsic be at the second nearest neighbor separation distance if the screening effect of the free carriers with Thomas-Fermi screening length rte=0. Make a table of N n and r n for n = 1,. because Statenemt -2: fcc has greater packing than bcc. The Hexagonal Close-Packed (HCP) unit cell can be imagined as a hexagonal prism with an atom on each vertex, and 3 atoms in the center. Each sphere in a cP lattice has coordination number 6, in a cI lattice 8, and in a cF lattice 12. In a BCC unit cell, there are 8 atoms at the corner of a cube and 1 atom at the centre. That’s the theoretical maximum number of NNs possible–each of those NNs contributes a bond, giving the crystal structure very high stability. 5 ˚ A and 3. [(4 / 3) π] − 1 / 3 Γ [(3 n + 1) / 3] − 1 f f 0 2 n / (2 n + 1) where 〈H n 〉 is the mean nth nearest-neighbor distance,. So the distance between two nearest atoms is nothing but distance between point A and O as shown in the above image. centred cubic (BCC) and face-centred cubic (FCC). How many atoms of the element does 208 g of the element contain. Since there are two lattice sites per bcc cubic cell, the density should be. Assume that for (a-c) there is one atom per lattice point. 7 Å and 6. The diagram shows the unit cell of a body-centered-cubic crystal. In a bee lattice, the atoms touch one another along the body diagonal. 15. A metal X has a BCC structure with nearest neighbor distance 365. Prove that the Voronoi cells induced by the single-nearest neighbor algorithm must always be convex. I nterionic distance,. Its atomic mass is 39 g/mole. 414 * a. Calculate the ratio of cohesive energies for the fcc and bcc structures. Reason Bcc has greater packing efficiency than fcc. Calculate its density - (A s s u m e m a s s o f s o d i u m = 2 3 g / m o l) Medium. 10. In case of K, radius r = 235 pm (as known) hence, distance = 2r = 2X 235 = 470 pm. Second nearest neighbors are the neighbors of the first neighbors. The definition of the distance function is central for obtaining a good accuracy on a given data set and differ-ent distance functions have been proposed to increase the performance. View solution > View more. Copper Oxide Layers The common building blocks for most high temperature (high Tc) su-perconductors are copper oxide layers as shown in the figure below. The distance between them can be found using the Pythagorean theorem in 3D space: a^2 + a^2 + a^2 = d^2, where d is the nearest neighbor distance. 6802 a fraction a u S 3 4 a radius SC 74% 68% 52%. 0 g cm −3 . Number of atom in unit cell of BCC (Z) = 2 Nearest neighbor distance, r = Atomic mass (M) = 39 g/mole Avogadro's number . 707 a$. The no. 0 Å, respectively. The left image is the bcc unit cell and the right a (110) ( 110) plane (indicated in green to the left). . potential energy A=Rn acting only between nearest neighbors. Range of parameter space to use by default for radius_neighbors queries. View solution. Question: Crystal structures: If the nearest neighbor distance is 2 A then calculate the volume of the unit cells in bcc, fcc and sc structures. Its atomic weight is 39 . This table summarizes the number and type of interstitial sites for simple cubic, body-centered cubic, face-centered cubic, and hexagonal close-packed crystals. In terms of the lattice constant a, what is the distance between nearest neighbor atoms in (a) a simple cubic lattice (b) a bcc lattice, and (c) a foc lattice? 4. Nearest neighbour distance in bcc unit cell is greater than that of fcc having same edge length. 113 08 : 59. Its density (in kg/m3) will be. 44 for fcc cubic —dumbbell mechanism and with the jump-lengths equal to the first nearest neighbour distance in [32, 36, 39, 59]. Find the number of atoms/unit cell and nearest neighbor distance for (a) sc, (b) bcc, (c) fcc, (d) diamond, and (e) zinc blende unit cells. Second nearest neighbors are the neighbors of the first neighbors. Sodium has a bcc structure with nearest neighbour distance of 365. r = 43a. View solution > Sodium metal crystallizes in a body-centered cubic lattice with a unit cell edge of 4. (1), one can find the nearest neighbour distance at pressure P and temperature T. View solution > View more. Its atomic mass is 39 g/mole. give a relationship between nearest neighbour distance(d),radius of atom(r), edge of unit cell(a), for fcc and BCC crystal. Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses. 52 \times 2}}{{\sqrt 3 }} $ Then, the number of nearest neighbors in the second layer is relevant. Medium. Check A. 707a. a eq is shown in Table 3 which displays the relative difference between the. (b) the interplanar spacing of {110} planes. In BCC, there will be atoms at the body centre and at corners. The cohesive energy in this case is the energy per atom required to increase the lattice constant to in nity. Hence, there are three groups of four lattice points lying in three perpendicular face planes, that also lie at this distance from any given lattice point. Reason Bcc has greater packing efficiency than fcc. 9 pm. An element occurs in the BCC structure with cell edge of 288 pm. View Solution. Answered by Varsha | 25 Jan, 2019, 11:43: AMPotassium has a bcc structure with nearest neighbour distance of 4. 39 (74pm/190 pm) . Potassium has BCC structure with nearest neighbour distance (2. Surface Science 256 (1991) 195-204 North-Holland. The cohesive energy in this case is the energy per atom required to increase the lattice constant to in nity. Example 16. Therefore, for a simple cubic lattice there are six (6) nearest neighbors for any given lattice point. View solution. Question: 3. 866a (3) (3) 2 r a 0. The nearest neighbor distance is 0. This is incorrect. This distance is the half of the length of face. -The distance between the two oppositely charged ions is the nearest neighbour distance. In bcc: The atoms at the body diagonal touch each other. . nearest neighbor distance). 52 Å`its atomic weight is `39` its density (in kg `m^(-3)`) will be asked Jun 17, 2019 in Chemistry by KumariPrachi ( 90. ∴ Coordination Number = 6 Thus, the length of first nearest atom is, (1) → l (First nearest neighbour distance) The second nearest atom will be at the face diagonal 'C'. The distance between two nearest- neighbor atoms is 0. by 12 nearest neighbors in the bulk fcc. Then: Your first neighbours are at the corners of the same cell. Number of neighbors to use by default for kneighbors queries. Q. (b) the interplanar spacing of {110} planes. My textbook has given data for third and fourth nearest neighbours to be 12 and 8 with distances $sqrt{2}a$ and $frac{sqrt{11}a}{2}$. Hence, the nearest atoms are the one which presnt at the face centres when the reference atom is at corner. This table summarizes the number and type of interstitial sites for simple cubic, body-centered cubic, face-centered cubic, and hexagonal close-packed crystals. 9 p m. The cutoff distance was selected so that the distance is longer than the second nearest neighbor distance of Ti, an element with the longest nearest neighbor distance among V, Cu, Mo, and Ti. In bcc lattice the corner atoms are called as the nearest neighbours and also a bcc structure has 8 corners atoms, so the pottassium atom will have 8 nearest neighbours. Say you are sitting in the center of a cell. 707 a$. Nearest Neighbor Distance ( at 300 K, 1 atm unless specified ) Click to see citations. Consequently, the simple cubic lattice is an inefficient way to pack atoms together in space: only 52% of the total space is filled by the atoms. It can also be imagined as stacking 3 close-packed hexagonal layers such that the top layer and bottom layer line up. 142 nm), the distance to the first, second and third nearest neighbor atoms are referred to as r 1 = a 0, r 2 = 3 a 0 , and r. Class 9; Class 10; Class 11; Class 12; CBSE BoardFor the proposed EAM fitting procedure, σ is chosen so that the LJ potential with LJ_1 and LJ_2 taken as 12 and 6, respectively (i. 0695 Å, respectively, its nearest-neighbor distance is 2. ##Recall#that#1#nm=# 1×10−7#cm. The expected distance is the average distance between neighbors in a hypothetical random distribution. In a body-centered cubic crystal, each atom has 8 nearest neighbors (NN). Second nearest neighbors are the neighbors of the first neighbors. Calculate its density (atomic mass of sodium = 23) View Solution. The next neighbors are in the center of the cube, and there are 8 such atoms, at a distance (a√3)/2=0. View more. 7 ? A then what is the lattice parameter? Find the reciprocal lattice vectors for the bcc and fcc structures and calculate the primitive volume for each. Its density will be (K=39,N A=6×10 23) Medium. 0016 g cm^(-3) ? 03:32. Then: Your first neighbours are at the corners of the same cell. If a distance between two nearest atoms is 3. Which is the incorrect. 03:44. , in a simple cubic Bravais lattice r 1 = 1, r 2 = √2 = 1. 524 , the cI lattice an APF of. (20) Find the number of atoms/unit-cell and nearest neighbor distance, in terms of the edge length a, for (a) sc, (b) bcc, (c) fcc, (d) diamond, and (e) zinc blende unit-cells. FCC has 6 next-nearest neighbors, and 24 next-next nearest neighbors. Q 5. Note that the bcc elements have higher values for f c compared to the fcc elements. For cubic materials, there are equations in which to calculate nearest neighbor (NN), second nearest neighbor, etc. BCC 8 6 1. Their nearest neighbour distances in terms of a/R a / R are 2 2–√ 2 2. Third, the neighbor is the center of the next adjoining cell shared by two corners of your section. 6. Who are the experts?Bihar Board. 73 A, the edge length of the cell is: A. Because of the periodic nature of a Bravais lattice, each point has the same number of nearest neighbors. 1 Find atoms/cell and nearest neighbor distance for sc, bcc, and fcc lattices. The distance between two nearest neighbour in a bcc cell = 1 2 × the length of body diagonal = 1 2 × 4r = 2r = 2× √3 4 a = √3 2 a. A solid has 'BCC' structure. Q4. Using the Pythagorean theorem in 3D, we get: a^2 + a^2 + a^2 = d^2 3a^2 = d^2 d = a * sqrt(3) = 1. 9 pm. 214 Å. [3] Tetrahedrical structure of diamond: Each atom forms bonds with four nearest neighbours (enclosed angles are 109. In the fcc crytsal lattice, the atoms are present at corners of the cube and at the face-centres of the cube. 4824 A°, but is 2. In this video I discussed Trick to calculate Nearest neighbour distance & coordination number for simple cubic structure. 757*10^30 amu/m^34. ] (b) Iron has the bond-centered-cubic (BCC) crystal lattice and its density is 7. This source says that the interplanar spacing of the (111) ( 111) plane in FCC is a 3√ a 3, which is in agreement with the formula above. If the distance of nearest approach between two atoms is 1. 5k points) class-12 A nearest neighbour in general terms is literally that: Find the closest atom of any given element, that is your nearest neighbour distance for that element in the lattice. The next neighbors are in the center of the cube, and there are 8 such atoms, at a distance (a√3)/2=0. ADVERTISEMENT. 5× 3)A˚. For a simple cubic lattice, it is clear that the nearest neighbor distance is just the lattice parameter, a. B. Sodium has a bcc structure with the nearest neighbor distance 3 6 5. In sodium chloride structure, each N a+ ion is surrounded by six Cl− ions as nearest neighbours and _______ N a+ ions as next nearest neighbours. (Shewmon 2-4) Calculate gamma for a tracer in pure bcc metal where gamma is defined by on the equation: D = gamma a_o^2 p_v omega Calculate gamma for an interstitial (octahedral) solute in a dilute bcc binary alloy. calculate the nearest-neighbor distance d_nn, and the length of the conventional crystal unit cell,a. Plan Your Route allows you to enter a start and end destination and receive the shortest route (as determined by Google) with step-by-step instructions. Step 4. However for BCC. 12. The density of the element is 8. That will be the nearest neighbour at the next level. 314. Each Ca + ion has 6 Cs + ions as the next nearest neighbour at a distance of r = d Cl-Cl-. Value. The next nearest neighbor distance in the BCC structure equals: 3a, √2a/2, √3a/2. That is not the. I have been able to calculate for the first and second nearest neighbour but it has become difficult to visualise for the other two to calculate. This is the nearest distance in fcc. A metal crystallizes in two cubic phases, face centered cubic (fcc) and body centered cubic (bcc) whose unit cell length are 3. Nearest Neighbors in BCC Metals. 52 ∘ A. We must know that in BCC lattice, the packing efficiency is 68%. In full-mould casting(cavity-less) process,the pattern is made of ?Q3. 17 FCC: HCP: Equivalent to above but rotated FCC iron is more closely packed than BCC suggesting that iron contracts upon changing from BCC to FCC. Reset. Calculating nearest neighbor distances. how many nearest and next nearest neighbours respectively each potassium has in BCC lattice. Reason Bcc has greater packing efficiency than fcc. 7900 kg/m^3 = 4. Twelve Na+ at a distance of √2 r (as the next nearest neighbour) Eight Cl- at a distance of √3 r 9as the third nearest neighbour) Six Na+ at a distance of √4 r or 2r (as the fourth nearest neighbour). The conventional cell for the body centred cubic bcc. Hence, it will have 6 nearest atom to it in simple cubic. other (distance = 0. Thus ˆ k(p) is proportional to kNN(p) d. For a FCC lattice, the nearest neighbor distance is half of the body diagonal distance. 0 ˚ A respectively. The first three nearest neighbor distance for primitive cubic lattice are respectively (edge length of unit cell = a): A. Calculate its density - (A s s u m e m a s s o f s o d i u m = 2 3 g / m o l) Medium. Homework Equations For fcc nearest neighbour distance is a/ 2 (1/2) For bcc " """"" """" a(3 1/2) / 2[/B]The shortest lattice vector in the bcc lattice is a/2[1 1 1], which joins an atom at a cube corner to the one at the centre of the cube; this is the observed slip direction. I'd like someone to show me how to calculate the number of nearest, second nearest, third nearest, etc. View Solution. 912Å at room temperature. 43 °A, calculate: (a) the distance from the center of one silicon atom to the center of its nearest neighbor, (b) the number density. An element occurs in the body centered cubic lattice with a cell edge of 300 pm. Q 5. r = 43a. The nearest neighbour distance in BCC structure isQ2. The calculated lattice constants of bcc V-Mo, bcc V-Ti, and hcp V-Ti solid solution phases are presented in Fig. Can this be done with tetragonal crystal structures? I want to calculate NN, 2NN, and 3NN of $ce{TiO2}$ rutile with a tetragonal crystal structure but am unsure how to do it. Question One: Find the number of third nearest neighbors and its distance for the: SC, BCC and FCC structures. Electrical Engineering questions and answers. • Rare due to poor packing (only Po [84] has this structure) • Close-packed directions are cube edges. Now, for a bcc unit cell, the relationship between r and a (edge-length) is: r = √ 3 4 a. (a) Show that at the equilibrium separation R 0 U(R 0) = 2Nq2(1 1=n)ln2 R 0: (1) (b) Let the crystal be compressed so that R 0!RThe coordination number and distance between nearest neighbour in BCC structure is Option 1) 6 , Option 2) 8 , Option 3) 6 , Option 4) 8 ,. The edge length of the cell is (approx): Easy. The slip plane most commonly observed is (1 1 0) which, as shown in Figure 4. Calculate its density - ( A s s u m e m a s s o f s o d i u m = 2 3 g / m o l ) MediumIf the distance of the closest approach between the two atoms is 1. Step 3. For example, interatomic distance of BCC-iron is 2. 124 Å. $ dfrac{{asqrt 3 }}{2} $ = $ 4. First we have to calculate the edge length of unit cell. The four corners of this face are nearest neighbours to the central lattice point. •While for HCP Co, the lattice constants a and c are 2. 1 (a), (b), and (c), in comparison. Third neighbours: centers of the next adjacent cells. The packing efficiency in BCC and FCC are as follow: In a bcc unit cell, particles touch each other along the body diagonal. These are situated a distance r 0 central blue atom. The radius of the sodium atom is approximately :-12. 7k points) jee; jee mains; 0 votes. What is the nearest neighbour. 20 pm. The distance between two nearest neighbour in a bcc cell = 1 2 × the length of body diagonal = 1 2 × 4 r. Therefore the ratio between cationic and anionic radii in zinc blend is 0. Here is step by step on how to compute K-nearest neighbors KNN algorithm: Determine parameter K = number of nearest neighbors. Then: Your first neighbours are at the corners of the same cell. Not the exact question you're looking for? Post any question and get expert help quickly. e. 73 A, the edge length of the cell is: Hard. First-nearest-neighbour distance of atoms (search 'Radial distribution function')Xenon crystallises in the face-centered cubic lattice and the edge of the unit cell is 620 pm. ADVERTISEMENT. Add a comment | 1 Answer Sorted by: Reset to. 866a. These formulas can be used to obtain a good cutoff distance: The units of the cohesive energy E c, equilibrium nearest-neighbor distance r e, and the bulk modulus B are eV/atom, Å, and 10 12 dyne/cm 2, respectively. In body centered cubic packing structure model we have an atom at the center and eight atoms at the 8 corners of the cube. Who are the experts?Nearest neighbour distance in bcc unit cell is greater than that of fcc having same edge length. Calculate its density - ( A s s u m e m a s s o f s o d i u m = 2 3 g / m o l ) MediumIn a bee lattice, the atoms touch one another along the body diagonal. Driving distance and how to go from Victoria, British Columbia to Clearwater, British Columbia. In a bcc structure, for any atom at the corner of the lattice, nearest neighbour is at the centre of the lattice which is at a distance of The second nearest neighbour is at the. Simulation resultsFor bcc structure, the nearest neighbor distance is 3 a 2/ , thus R= 3 a 4/. 2 Ao. Statement -1:Distance between nearest neighbour in bcc is greater than that of fcc having same edge length. The nearest neighbors of any apex in FCC are the atoms in the middle of a face. 47°). 9 pm. What is the distance between nearest. 1 (a), (b), and (c), in comparison with. The number of next nearest neighbors in the BCC structure equals: 4, 8, 12. 0 ˚ A respectively. Problem #2 bcc: one conventional cell has two sites (twice as large as a primitive cell) fcc: one conventional cell has four cites (1 conventional cell=4 primitive cells) Simple cubic . Answer The volume of a unit cell in different crystal structures can be calculated in terms of the nearest neighbour distance, often denoted as x. My textbook has. The number of nearest neighbours for that element is the number of atoms that are at this distance from your starting atom. Atomic packing factor (APF) is the fraction of volume that is occupied by atoms. If the nearest neighbour distance is x then calculate the volumes of the unit cells in bcc, fcc, & sc structures in terms of x. Thus, the nearest-neighbor distance is: d = r * sqrt(2) (b) For the BCC crystal along the [111] direction, there are four atoms per unit cell along this direction. A recently proposed analytic nearest-neighbour model for fcc metals is criticised and two alternative nearest-neighbour models derived from the separable potential method (SPM) are recommended. Question 2 1 pts The 4th nearest neighbor distance in a BCC lattice that has a lattice parameter equal to a is Q v3 w/2 O 2a Question 3 1 pts The number of atoms per unit area on the closest packed plane in a BCC lattice that has a lattice parameter equal to a is O 1/8*2 O V2 /2a*2 Q 2/ 2 a*2 O v3/2a^2In the present video I have discussed details of Face centered Cubic Structure. Its density will be. Is equal to a Underwood 3, 12 and rode three. AO=AF/2=3a/2. The centres of four vertical faces are another nearest lattice points. The next neighbors are in the center of the cube, and there are $8$ such atoms, at a distance $(a√3)/2 = 0. Physics questions and answers. = 23a. Solution. For bcc metals, as well known, the second nearest–neighbor distance is larger than the first nearest–neighbor distance by only about 15% and the number of the second nearest–neighbor atoms (Z 2 = 6) is very near to that of the first nearest–neighbor atoms (Z 1 = 8). 0 ˚ A respectively. View solution. Its density (in kg/ m 3 ) will beHow do I calculate the lattice sums A12 and A6 for a BCC structure? I have calculated the following so far: A12 = 8 (1/1)^12 + 6 (1/root2)^12 + 12 (1/2)^12 + 16 (1/root5. algorithm {‘auto’, ‘ball_tree’, ‘kd_tree’, ‘brute’}, default=’auto’ Algorithm used to compute the nearest neighbors: ‘ball_tree. View the full answer. b) Calculate the unit cell volume of FCC Pt. Let's start from any apex of the elementary cubic cell. The distance between two nearest neighbors can be found by considering a right triangle formed by the side length (a) and the body diagonal (d). for the bcc lattice. The correct answer is: a Sodium has bcc packing. A simple cubic crystal has only. We must know that in BCC lattice, the packing efficiency is 68%. Hence, it will have 6 nearest atom to it in simple cubic. Its density will be ( K = 39,NA = 6 × 10^23 )An element crystallizes in a BCC lattice nearest neighbours and next nearest neighbours of the elements are respectively 1) 8,8 2)8,6 3)6,8 4)6,6. What is this ratio using the energies from the nearest. 2) 2 1 = 0. x H 2 O is bcc with edge length, a = 1. 52{A^ \circ } $ Therefore, a = $ \dfrac{{4. There is one at the center of the adjacent cube to our cube. If its density (in g cm–3) would be X , then the value of ( 100 X − 1 10 ) is Potassium has a bcc structure with nearest neighour distance `4. Second neighbours are at the centers of the nearest adjacent cells. The density of the element is 7. T l A l (S O 4 ) 2 . The ratio of the distances with the nearest neighbours in a body centered cubic (BCC) and a face centered cubic (FCC) crystals with the same unit cell edge. ) Assume that a hypothetical BCC Pt crystal has the same mass density as FCC Pt. Xenon crystallizes in the face-centred cubic lattice and the edge of the unit cell is `620` pm. Baskes, 2,† Hanchul Kim, 1 and Yang Koo Cho 1 You should ensure the appropriate nearest neighbors of an atom are found within the cutoff distance for the presumed crystal structure (e. The third-nearest neighbour distance in a BCC (Body Centered Cubic) crystal with lattice constant. Its atomic mass is 39 g/mole. View Notes - HW440-1 from EE 440 at University of Texas. One way one can get this is as follows. (4) (4) a 2. 866 a$. The question is: The density of bcc iron is 7900 kg/m3, and its atomic wieght is 56 amu. E. What is metal X if its density is 1. Its atomic mass is 39 g/mole. For N, the N 2 molecule is the most stable with an equilibrium distance of 1. Even with second-nearest neighbors, the deviation from the values of the full analysis remains well over 10 pct. Thus, the coordination number of fcc is 12. Get Distance & Directions. The cutoff distance was selected so that the distance is longer than the second nearest neighbor distance of Ti, an element with the longest nearest neighbor distance among V, Cu, Mo, and Ti. View solution. Starting at the atom in (0,0,0), the nearest atom is in the x-direction, in the y-direction, and in the z-direction.