Pcb differential pair impedance calculator. That option operates on a single trace. Pcb differential pair impedance calculator

 
<strong> That option operates on a single trace</strong>Pcb differential pair impedance calculator  External Copper Thickness: Copper weight for the top and bottom layers

zip (170k) AP117. Use 3. KiCad has a built-in impedance calculator! For differential pairs of microstrips, the formulas involved are much more complicated because coupling between the traces in the differential pair must be included in the impedance calculation. 1. We often say that PCB traces should simply have 50 Ohm impedance, but this becomes more complicated when dealing with coupling between differential pairs. W W = trace width. 4mils/35um of copper thickness. 1 Answer Sorted by: 4 The calculation looks correct, but the tracks are too wide. And that they have the same separation from each other along the entire length of the line. If you have copper fill on other layers, you can tie them to. The standard specifies a two-wire differential bus; the characteristic line impedance is 120 Ohm. I have one differential pair in the transmission line. dear friends I want to route 100 ohm differential pairs of LAN on two layer pcb ( 1. With PCBWay impedance calculator, you can calculate the approximate impedance of your PCB / high frequency circuit board. Copper thickness (t) = 18 micron. Given the defaults (1. KiCad has a built-in impedance calculator!Signals on an FR4 PCB travel at approx half the speed of light, so you'd want to make your longest trace no more than 44 mm longer than the shortest trace. Impedance calculators will help you to determine your line width and layer configurations while board layer stackup editors will help you to plug in the correct PCB materials and widths. 4mils = 0. A PCB impedance table will provide the trace width required to have a target impedance value on a standard stackup. 120 Ohm Differential Pair: 0. On a 1. Several Web sites such as the examples listed below contain additional reference information. Twisted Pair Impedance. Updated formulas for all of the differential pair impedance models. 1 Answer. 5 to 4. 1<S/H<3. 9. 100 ohm differential pairs that are tightly coupled have a typical single ended impedance of around 65 ohms. too. 6mm, that will make it easier to approximate the 90 Impedance - Use as thick traces as possible, and be aware that if you let the ground pour on the top layer get too close, it will also alter the impedance. But I am not able to match this impedance. The formula used in this calculator is an approximation for the characteristic impedance of a coplanar waveguide: scssCopy code. It worked for a while, then it began destroying random devices, obviously because of other design errors. The characteristic impedance of the microstrip line means that is the uniform impedance provided by the uniform cross-sectional dimensions along the microstrip (flat copper conductor) length; to prevent signal reflection. thanks to 6 layers I am now pretty confident that I can place all diff pairs on top and bottom layers, directly above the ground planes. To answer, Zac. When designing high-speed boards, you need to worry about two things: length matching in parallel nets and differential pairs, and specified trace lengths to comply with specific routing standards. This calculator requires symmetry in the trace widths and location between plane. g. I tried to use the tool “PCB calculator” to determine the size of mi USB tracks. 5) and 1. 1 mm. The example below shows how adjusting the stitching via placement could affect a differential via. – Microstrip lines are either on the top or bottom layer of a PCB. 4 Ethernet PHY PCB Design Layout Checklist SNLA387 – JUNE 2021 Submit Document FeedbackUnderstanding Coplanar Waveguide with Ground. The differential pair is all about balance. This form of microstrip is composed of two traces. Note: Use the following guidelines when using two differential pairs: D = Distance between two differential pair signals; W = Width of a trace in a differential pair; S = Distance between the trace in a differential pair; and H = Dielectric height above the group plane. Supports Anritsu ShockLine™ MS46524B and VectorStar™ MS4647B. 1. Rule of thumb: 0. The following are typical line widths and spacings for the more common impedance values when using ½ OZ copper: 50 Ohm Single Ended: 0. When working with differential pairs, your trace spacing and geometry will determine the impedance of each trace and of the pair. Saturn PCB Design Toolkit Differential Pair Impedance Calculator. Characteristic impedance or surge impedance is the impedance of a PCB transmission line without including the effect of other transmission lines. Figure 81 shows the topology. Note: The 6-Layer board temporarily only provides JLC3313 Stackup. While, when it comes to flexible and. differences being that if you wish to change the track thickness and spacing as the differential pair changes layers in the PCB to control impedance then they should be defined as a Physical CSet. Ls =. First, we would like to know the critical length for a USB signal being routed on a typical 2-layer PCB. To calculate geometry for 90OHMs Differential pairs routed on 2 layer PCB (Differential impedance of Microstrips) you need to know: width of the traces, space (gap) between the traces, height of dielectric above return plane, trace thickness and relative permittivity of the dielectric. Added ability to include Er effective to the wavelength calculator. A PCB's trace impedance depends on its geometry, core and prepreg material, and layers. Single-ended and differential pair routing guidelines impedance will have defined geometry to ensure impedance goals are met. Ohm’s Law provides the framework for solving network analysis problems; when the curtain gets pulled back, Ohm’s Law updates to become the relationship between voltage, current, and impedance, not resistance. D_P and D_N) KiCad looks for these suffix pairs when using the differential pair routing tool during PCB layout. Best-in-Class PCB Fabrication, Assembly, & Components. KiCad has a built-in impedance calculator!For differential pairs of microstrips, the formulas involved are much more complicated because coupling between the traces in the differential pair must be included in the impedance calculation. We recommend the software from Polar Instruments if you want to get exact impedance calculation. e. These are pure estimates to. If you read many PCB design guidelines, particularly on parallel protocols and differential pair routing, you’ll see many mentions of trace length matching. The correction can be done with the menu option: Route → Tune Differential Pair Length Skew/Phase. The calculator shows 90 ohms can be achieved using. Since it is always important that the trace impedance remain constant over the entire length, this means that the coupling must remain constant over the entire length. 0 high-speed. Learn more about determining microstrip trace impedance; Learn more about determining symmetric stripline trace impedance; The fastest way to determine impedance is in PCB design software that. High-speed designs carry a requirement for controlled impedance, crosstalk control, and the need for interplane capacitance. You must estimate the differential trace insertion loss in dB/inch for the trace loss budget based on the selected PCB materials and stackup. Embedded Microstrip Trace. Yet I got a ZDiff CPW with ground capable calculator: Differential surface coplanar waveguide with ground calculations: *0. pairs for aciving 85 Ohm diff. PCB Repair Quotes. The screenshot is as shown in the picture q1-pro-pcb. 3 can then be used to design a PCB trace to match the impedance required by the circuit. We will assume here that both of the lines of the pair are identical and uniform. A PCB impedance calculator uses field solvers to accurately approximate impedance values. Spread the loveA Grounded Differential Coplanar Waveguide (GDCPW) is a transmission line structure used in RF and microwave circuits. ALTIUM DESIGNER. Differential Stripline Impedance Calculator. There are many demands placed on PCB stackup design. 5. Defining the Differential Pairs on the Schematic. 3. 0055” spacing. e. If it’s not. On the top layer and I have 50 ohm impedance for single ended signals with a trace width 7. Using the KiCad Impedance Calculator. For example, if you wish to input "25000000", just type "25M" instead. Eurocircuits also calculates the correct Differential Impedance values using the correct formula and not a ‘Rule of Thumb’ method. e. For example, ECL logic has a 50 Ω characteristic impedance, and TTL has a source impedance range of 70 to 100 Ω. 34, 40, and 48 Ohms single-ended impedance are common, and each of these will have a specific corresponding differential pair impedance. Figure 81 shows the topology. While commonly constructed using. These traces could be one of the following: Multiple single-ended traces routed in parallel. The same figures put into pcbway's calculator give me 115R, and the same. D+ and D-) _P/_N (e. PCB Thickness is 1. Controlled differential impedance starts with characteristic impedance. The CAN bus shall be split-terminated with 120Ohm, 60Ohm for each line. Build a model from experimental data of impedance vs. 4515. W1: Width of the bottom surface of the trace. 0. Finally, all calculators provide theoretical impedance values as they cannot take in to account the variables. e. In the case where you are routing differential pairs, then the potential between the two pairs will always be opposing (i. I believe the 100-ohm differential equates to 50-ohm single ended because you can think of the two 100-ohm impedances as being in parallel resulting in an effective 50-ohm single-ended equivalence. 0037” line/0. 5. As explained in Part 1 of this series ( Circuit Cellar 367, February 2021 [3]), PCB manufacturers can propose different PCB stack-ups, and specifying a low thickness for the so-called “top prepreg” will help to reduce the trace width. Note that the built-in impedance calculator does not account for the affect of vias, it assumes lossless transference from one signal layer to the next. They are very simple to read, and the. This 8W rule also applies to ground planes on the same layer. Coax Impedance (Transmission Line) Calculator. I used Saturn PCB design to calculate width and spacing between conductors. 1 ohms; In addition to those calculation I found some other resources with some sample trace properties: Mikrocontroller. Note that the y-axis is on a logarithmic scale for clarity. PCB DESIGN TOOL Impedance Calculator TRY TOOL . frequency capabilities. 225m s = 2mm. The nice part about coax is that it can be bent and flexible unlike most pcb transmission lines. 1. The guides says spacing under 0. Multiple differential pairs routed in parallel. Low-voltage differential signaling (LVDS) is codified in the TIA/EIA-644 standard and is a serial signaling protocol. You can define various routing constraints such as length matching for differential pair, controlled impedance, and crosstalk prevention. 8). The screenshot is as shown in the picture q1-pro-pcb. of typical printed circuit board trace geometries. THESE FORMULAS ARE APPROXIMATIONS! They should not be used when a high degree of accuracy is required. In differential pairs, each trace in the pair carries the same magnitude, but opposite polarity. BGA land calculator based on the IPC-7351A specification. 9. You want to select “Microstrip Zdiff”. The signal is 264MHz. Tightly coupled pairs (within a pair) are quite common and this has the advantage of having a somewhat higher single ended impedance on a per track basis within a differential pair which is often easier to implement. The accuracy of a controlled impedance trace on a PCB is usually critical to the correct performance of the PCB. 3mm, as shown below: This increases the impedance slightly to 91. Differential impedance: 90 ohms (tolerance: +/- 15%) On a typical 1. The Smith Chart achieves this by superimposing a grid on S11 that maps load impedance. 004” line/0. If you can - Use a 0. Calculates the differential pair impedance of a balanced line. Impedance Calculators. . Preferably, the length of the clock trace should be somewhere in between. 52mm fr-4, 1oz cooper) and a target of 90ohm differential impedance, i calculated a value of about. 2. Differential pair length tuning. Quote Now . Several Web sites such as the examples listed below contain additional reference information. This will give us the appropriate trace width and trace separation for the desired differential impedance. There are four different types of impedance used in characterizing differential trace impedances. For example, when two traces with Z =50 W are well separated (uncoupled), the differential impedance between them should be precisely Z DIFF = 2. 6mm thick, 1. 0 and 0. Coplanar Waveguide Analysis/Synthesis Calculator. Reference: R. By the way, I’d recommend using Saturn PCB Design Toolkit for impedance and other PCB calculations. PCB Impedance and Capacitance Calculator: Asymmetric Stripline. The design approach of controlled impedance routing is a key ingredient of high speed PCB design, in which effective methods and tools must be adopted to ensure the intended high speed performance for your PCBs. Stripline Trace. This rule maintains the desired signal impedance. 1. D_P and D_N) KiCad looks for these suffix pairs when using the differential pair routing tool during PCB layout. (1+ρ) (1-ρ) With most of today's TDR-capable instruments, such as the Tektronix sampling oscilloscope, TDR measurements can be displayed with units of volts, ohms, or ρ (rho) on the vertical magnitude scale. Impedance. The crosstalk coupling calculation requires information for the driver source as well as the PCB physical characteristics. 5. The differential pairs should be loosely coupled. When selecting trace geometry, priority should be given to matching the differential impedance over the single ended impedance. T T = trace thickness. Take account, the internal used formulas sometimes don't equal on Conductor Impedance tab and on Differential pairs tab (e. The differential impedance target, as well as the single-ended impedance of each trace, is maintained by keeping the spacing between the two traces constant. The edge couple differential microstrip transmission line is a common technique for routing differential traces. For example, ECL logic has a 50 Ω characteristic impedance, and TTL has a source impedance range of 70 to 100 Ω. Home. L R ≈ 50mm (2 inches). P/N De-skew Strategy on Differential Pairs. #2. Single-Ended Impedance The trace impedance (single-ended) in an individual trace is normally calculated by ignoring any neighboring traces, so no coupling to other conductors in the design will be included. In fact, striplines often make components such as band-pass filter's more accurately, with more symmetric roll-off and no lower cutoff frequency. Re: USB differential pair on 2 layer board. When routing a high-speed PCB, pay particular attention to single-ended and differential impedances (Zo and Zdiff, respectively). Just as important as determining an appropriate trace width for a single-ended trace is determination of an appropriate spacing between two traces in a differential pair. 8 mm to 0. 265mm core between the top-layer and the second (GND plane) layer, each using 0. The JLCPCB results are more reliable than (some of) the simple formula-based approaches. Unit: Options are mm, mil, μm, and inch. The impedance calculator determines the signal properties and clearances (first image), use that clearance in the via shielding Distance setting. The same in true for bottom layer. 1. Coplanar Waveguide Calculator. 25mm trace. 6mm FR4 PCB with 7628 type stackup (4 layers), the above specifications usually result in 4. Edge Coupled Stripline Differential Impedance Calculator. Figure 2. The guides says spacing under 0. For example, with a thickness of 0. PCB Padstack Calculator. To optimize the PCB trace impedance and stackup, you must follow the key notes below: If thin dielectric layers with high dielectric constant (Dk) cannot be. The other yellow rectangle is the USB connector. Each end of a differential pair. The next graph investigates this further. common impedance: 19. There are many calculators available online, as well as built into your PCB design software. Using the KiCad Impedance Calculator. Here it is already defined in the schematic that this is D+ and D-. The S50 Impedance Profile is defining the routing widths, which will change according. Use an impedance calculator to determine the trace width (W) and spacing (S) required for the specific board stack-up being used. RS485 uses differential signaling for the cable of 100Ω or 120Ω, the terminating resistance should match the cable. Either or both of these rules may be important in your design, it all. When you are creating your schematic, you must use one of the following suffixes when naming your differential pair nets: +/- (e. This sets the single-ended impedance AND differential impedance to the target value, even if there is no. The High speed protocol that is being designed for determines what the single and differential trace Impedance the traces need to meet as well as the tolerance for the impedance (e. differential impedance: 90. You will need to know the thickness of the dielectric you will be using as well as the relative permittivity (dielectric constant). Using these highlighting methods, you can quickly highlight all differential pairs in a particular. For the signal trace of width W and thickness T, separated by distance H from a ground (or power) plane by a PCB dielectric with dielectric constant εr, the characteristic impedance isEdge-coupled coated differential microstrip Edge coupled differential microstrip for flex PCB. One should note that some routing and computer architecture standards (i. PCB Trace Impedance Calculator. Impedance Calculators. 00:11:15 | 18 SEP 2019. Allegro offers several advanced routing features that help you build complex PCB designs. This video explains the most common layout topics for USB signals: impedance, trace length and matching, and printed circuit board (PCB) stack-up. It is only equal to double the characteristic impedance in certain cases. I did my research on what the differential impedance is and how should I approach it. Added inches and um to conversion data. The flat flex cable used with Raspberry Pi CSI-2 camera interface has 0. 5mil clearance on a 63 mil board (1. pH nH uH mH H kH. The answer lies in the spacing between the traces in the pair. 50 to 60 Ω is a common target impedance used in many designs, and for differential pairs, 90 Ω or 100 Ω differential impedance is common. But for extreme geometries and for many differential pair structures, these approximations can. It's true that generally the impedance value is determined by the following parameters; trace layer (microstrip or stripline), trace width, distance. Use the same trace widths throughout the length of the trace. 004” trace, 0. 5 mil as the thickness of 3313 prepreg when the controlled impedance tracks are on top/bottom, use 5. But practically (especially in a dense design like your example), they also interact with surrounding conductors, and the coplanar ground, or ground beneath a differential microstrip will affect the characteristic impedance. In tab “TransLine” i chose “Coupled Microstrip Line” and i can calculate the impedance of only one track. H 1 H 1 = subtrate height 1. Impedance; Signal Loss; S Parameter; Crosstalk; Geometry Information . If trace width is increased for the metal losses reduction, the single end impedance will be reduces. ’ Go to the ‘Differential pair rules’ >> ‘New rule. g. 2. • As shown in Figure 1, traces should be 100-Ω(±5%) differential impedance of differential microstrip or differential stripline. 6 mm board that I want to create a 90 Ohm profile on. I am routing LVDS pair on a flex board. You need to set up certain rules. Single-ended impedance involves a single trace over a ground plane, with common values around 50-75 ohms. 5; w, t, s, h > 0;Made in Europe. 5 mil wide traces with about 6 mils of. How is crosstalk induced in a differential pair? Crosstalk in differential pair. Chrome 92. This calculator determines the impedance of a symmetric differential stripline pair. I am designing a flexible PCB to carry two types of differential signals. Figure 1. D+ and D-) _P/_N (e. It always defaults to 10mil. Skin Depth Calculator. Before we can start routing the PCB, we need to define Design Rules for our differential traces. The designer needs to create a stackup for the board and then calculate the trace values for differential pairs and single-ended nets. In terms of how these calculators work, the impedance of a transmission line in a PCB can be calculated in four ways: Use the R, L, C, G parameters from the Telegrapher’s equations to calculate the impedance of the transmission line. There is a slightly different, but tightly coupled question here with this impedance calculator: "stripline differential impedance": Stripline here seems to be placed in some inside layer. The typical impedance should be a 100 Ohm differential with a +/- 10% control. 0. Differential pairs are commonly found in high-speed data communication systems, such as those used in computer interfaces (e. This calculator finds both odd and even transmission line impedance, including four different types of impedance used in characterizing differential trace impedances, for microwave antennas, couplers and filters applications. 6mm spacing with a trace width of 0. Check design with the online gerber viewer, Easy and quick PCB Price Calculator from JLCPCBWhen you are creating your schematic, you must use one of the following suffixes when naming your differential pair nets: +/- (e. Using the KiCad Impedance Calculator. For example, a single 0. Differential Pair Calculator The Differential Pair Calculator is used to perform what-if analysis to determine what values of Primary gap and width are needed to get specific differential and single line impedance. The amplitude increases as the coupling length increases up to a point. eu. Just as important as determining an appropriate trace width for a single-ended trace is determination of an appropriate spacing between two traces in a differential pair. Impedance and Differential Pairs in KiCad. Using the wrong impedance will cause the signal to be reflected inside the track. 0 interface. Use stripline routing for better far end crosstalk performance and a tight impedance tolerance, and keep trace lengths shorter than the maximum allowed length limited by the full-channel IL and eye diagram simulation results. The reason for this is that the input impedance is what matters, and the input impedance at the via transition will look like the trace impedance (i. The trace separation is varied from 1. In general, it is double the odd-mode impedance, which is the value we care about for differential signaling, as it is used in high-speed PCB design. The factors that influence differential pair via impedance will affect the input impedance seen at the vias. To be honest, I am no idea of the impedance on. Rs =. 1. These are precisely the characteristics of a pair of lines to be designated as a differential pair. Use an online differential stripline impedance calculator Calculating Differential vs. If the goal is to adjust the characteristic impedance, then you can likely do it by changing both width and spacing (keeping center-to-center the same) just as well as by changing the width without changing the spacing. When dealing with differential pairs, thi. The trace width (0. Once the option is active, click on the shortest trace and move the mouse. 13 mm; substrate thickness 1. ISO 11898 requires a cable with a nominal impedance of 120 Ω; therefore, you should use 120 Ω resistors for. Using the KiCad Impedance Calculator. This calculator finds both odd and even transmission line impedance. 2. 1<W/H<3. Eq. 5 mil (2116 prepreg) or 8. There are four different types of impedance used in characterizing differential trace impedances. One of the features of this type of microstrip is the coupling between lines. But it lacks the differential impedance (impedance between these two tracks). 22 mm; trace distance: 0. Terminate far end of the pair with 90 Ohms resistor (it is odd mode. When you try to calculate track geometry (track width and spacing) for specific impedance on 2 layer PCB, usually you end up with very weird numbers - means you may give up on trying to use that width. 1 is an example of making tradeoffs between routing layers and power plane capacitance for a ten-layer PCB. PCB impedance calculator – Single ended / Differential pair. which is 0. But I'm unsure if the Height I entered is. 1. net Forum. Keep the spacing between the pair consistent. trace width: 0. Although JLCPCB can produce boards with 2 oz external copper, the calculator only supports 1 oz because (1) the wider tolerance of 2 oz traces hinders impedance control, and (2) most signal traces only carries small currents. 5. 16 mil. 1mm (3. So if layer 1 and layer 3 are ground planes and you place an RF signal track on layer 2 it will need to be x mm wide for 50. Differential routing uses a pair of traces to carry complementary signals, often targeting 100 ohm impedance. Calculates the outer and inner layer diameters of a padstack given the drill size. Spacing and width value pairs that will give a differential impedance of 100 Ohms on Dk = 4. Differential pair on a reference plane for differential mode (left picture) and common mode (right picture) line impedance In addition to the four line impedance types the Impedance Calculator is also able to calculate the Coupling Factor between two traces on either the same signal layer (horizontal coupling) or between two traces on different. There are some signal integrity issues with de-skewing in traces: Impedance. I am designing a PCB flex and in order to meet the flex requirement I need to go with a cross hatched ground plane. CSI-2 interface data pairs require a 100 ohm differential impedance. 1<W/H<3. 05 that is free software and very. D_P and D_N) KiCad looks for these suffix pairs when using the differential pair routing tool during PCB layout. 3. Impedance and PCB Stacking The trace impedance is affected by many factors such as the width of the trace, th e thickness of the copper, the PCB material, the PCB stacking specification, and the spacing between the differential pairs. The auto-router will add a trace to match the longest trace as shown in Figure 5. Hello , I am designing a PCB that is featuring USB , I know that the USB traces diff impedance should be 90 ohms. Modeling approximation can be used to understand the impedance of. To calculate the values, the designer needs to know the following information: Number of board layersWe get a lot of questions about trace impedance and how to calculate the right trace size to hit a specific impedance in a manufacturable PCB. D_P and D_N) KiCad looks for these suffix pairs when using the differential pair routing tool during PCB layout. 25mm between the differential pair with a width of 0. The formula used in this calculator is an approximation for the characteristic impedance of a coplanar waveguide: scssCopy code. Click on Net -> All Layers -> Line under the Spacing Constraint Set. Differential pair impedance depends on a lot of variables in reality,. S1: The separation between the two traces of the. There is only one method I am aware of that gives any level of accuracy for differential via impedance calculations, and it starts from a calculation of the propagation delay through a pair of differential vias. ) You need a ground plane right below the impedance-controlled pair. g. Also, I tried the differential tools in KiCad, and I matched both pairs to the same length (otherwise, one track is about 6 mm longer). There are 3 types of single-ended models: single-ended non-coplanar, coplanar single. The surface finish is neglected. When you are creating your schematic, you must use one of the following suffixes when naming your differential pair nets: +/- (e. Use several of them and compare. Have you noticed a marked difference between the results given by PCB impedance calculators? It turns out, you're not wrong. 3mm of the microcontroller), therefore i rounded the width to 0. By controlling the PCB impedance, unexpected damages or errors can be limited to some extent. The only unified PCB design package with an integrated trace length calculator and PCB trace length matching vs. An impedance mismatch will. The Ethernet pairs are length matched. The resistance value chosen for the two resistors will be referred to as R D (for d rain resistance). For context, as I understand it, the Ethernet pairs between the PHY and magnetics need to be impedance controlled to 100ohm and they need to be routed (ideally) in parallel, and the trace space and trace width are important variables in the impedance control. 94 mil) is nominal thickness of 3313 prepreg. The sections below describe these steps in more detail. Differential pairs are very simple: they are composed of two traces, routed side-by-side, and that carry equal magnitude and opposite polarity signals on each trace. Here, we are using a USB 2. The tool implements numerical solutions of Maxwell’s equations to render accurate and consistent results. 2Gbps 100R differential impedance, while the other is only 3Mbps, with much more tolerance on the impedance. You can see for example, Matthew K. The PCB Impedance Calculator in Altium Designer. When you calculate differential impedance you still need to have a ground reference. Finally, all calculators provide theoretical impedance values as they cannot take in to account the variables and. Such a microstrip is constructed with two traces referenced to the same reference plane with a dielectric material between them. Because the traces are together on the same layer (plane) I'm not sure how "coplanar". 3. PCB impedance control is an important design constraint when working on high-frequency circuits. . AC coupling capacitors can be positioned anywhere throughout the differential pair’s length. In PCB design software with a built-in impedance calculator function, you can calculate impedance quickly. It has been correlated many times. It seems I could largely do without any impedance matching considerations, given what the trace lengths are. PCB Structures / Discrete Structures / Signal Management. Overview. 8. 3. Copper.